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12211221220020 = 22325232949570343
BaseRepresentation
bin1011000110110010010110…
…0000001100101010110100
31121020101022000001211100100
42301230211200030222310
53100032040113020040
641545431345514100
72400142305526464
oct261544540145264
947211260054310
1012211221220020
11398882803a759
121452749342930
136a7689710204
143030520b7ba4
15162996580b30
hexb1b2580cab4

12211221220020 has 72 divisors (see below), whose sum is σ = 38651169787776. Its totient is φ = 3114746281152.

The previous prime is 12211221219971. The next prime is 12211221220021. The reversal of 12211221220020 is 2002212211221.

It is a happy number.

12211221220020 is a `hidden beast` number, since 1 + 221 + 1 + 221 + 2 + 200 + 20 = 666.

It is a super-2 number, since 2×122112212200202 (a number of 27 digits) contains 22 as substring.

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 = 12211221219975 and 12211221220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211221220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1474781032 + ... + 1474789311.

It is an arithmetic number, because the mean of its divisors is an integer number (536821802608).

Almost surely, 212211221220020 is an apocalyptic number.

12211221220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211221220020 is an abundant number, since it is smaller than the sum of its proper divisors (26439948567756).

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

12211221220020 is a wasteful number, since it uses less digits than its factorization.

12211221220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949570381 (or 2949570376 counting only the distinct ones).

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

Adding to 12211221220020 its reverse (2002212211221), we get a palindrome (14213433431241).

The spelling of 12211221220020 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 2949570343 5899140686 8848711029 11798281372 14747851715 17697422058 26546133087 29495703430 35394844116 44243555145 53092266174 58991406860 67840117889 88487110290 106184532348 132730665435 135680235778 176974220580 203520353667 265461330870 271360471556 339200589445 407040707334 530922661740 610561061001 678401178890 814081414668 1017601768335 1221122122002 1356802357780 2035203536670 2442244244004 3052805305005 4070407073340 6105610610010 12211221220020