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1212212021220 = 22325371011802117
BaseRepresentation
bin10001101000111101011…
…101111000011111100100
311021212221010210001202200
4101220331131320133210
5124330102234134340
62324514342334500
7153402513112314
oct21507535703744
94255833701680
101212212021220
114281070a1412
12176b2742a430
138a407655375
1442958377444
15217ebd8c330
hex11a3d7787e4

1212212021220 has 144 divisors (see below), whose sum is σ = 3813815114928. Its totient is φ = 311405644800.

The previous prime is 1212212021203. The next prime is 1212212021233. The reversal of 1212212021220 is 221202122121.

It is a happy number.

1212212021220 is a `hidden beast` number, since 1 + 21 + 221 + 202 + 1 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11241512676 + 1200970508544 = 106026^2 + 1095888^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1212212021193 and 1212212021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228399 + ... + 1573718.

It is an arithmetic number, because the mean of its divisors is an integer number (26484827187).

Almost surely, 21212212021220 is an apocalyptic number.

1212212021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212212021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906907557464).

1212212021220 is an abundant number, since it is smaller than the sum of its proper divisors (2601603093708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1212212021220 is a wasteful number, since it uses less digits than its factorization.

1212212021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802270 (or 1802265 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1212212021220 its reverse (221202122121), we get a palindrome (1433414143341).

The spelling of 1212212021220 in words is "one trillion, two hundred twelve billion, two hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 101 111 148 180 185 202 222 303 333 370 404 444 505 555 606 666 740 909 1010 1110 1212 1332 1515 1665 1818 2020 2220 3030 3330 3636 3737 4545 6060 6660 7474 9090 11211 14948 18180 18685 22422 33633 37370 44844 56055 67266 74740 112110 134532 168165 224220 336330 672660 1802117 3604234 5406351 7208468 9010585 10812702 16219053 18021170 21625404 27031755 32438106 36042340 54063510 64876212 66678329 81095265 108127020 133356658 162190530 182013817 200034987 266713316 324381060 333391645 364027634 400069974 546041451 600104961 666783290 728055268 800139948 910069085 1000174935 1092082902 1200209922 1333566580 1638124353 1820138170 2000349870 2184165804 2400419844 2730207255 3000524805 3276248706 3640276340 4000699740 5460414510 6001049610 6552497412 6734511229 8190621765 10920829020 12002099220 13469022458 16381243530 20203533687 26938044916 32762487060 33672556145 40407067374 60610601061 67345112290 80814134748 101017668435 121221202122 134690224580 202035336870 242442404244 303053005305 404070673740 606106010610 1212212021220