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1212210020 = 22573832129
BaseRepresentation
bin100100001000000…
…1101101101100100
310010110222122112102
41020100031231210
54440311210040
6320141511232
742016421000
oct11020155544
93113878472
101212210020
1157229636a
12299b72518
131641aac48
14b6dcb700
157164d515
hex4840db64

1212210020 has 96 divisors (see below), whose sum is σ = 3005856000. Its totient is φ = 410414592.

The previous prime is 1212210001. The next prime is 1212210023. The reversal of 1212210020 is 200122121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1212209983 and 1212210010.

It is not an unprimeable number, because it can be changed into a prime (1212210023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568316 + ... + 570444.

It is an arithmetic number, because the mean of its divisors is an integer number (31311000).

Almost surely, 21212210020 is an apocalyptic number.

1212210020 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 1212210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502928000).

1212210020 is an abundant number, since it is smaller than the sum of its proper divisors (1793645980).

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

1212210020 is a wasteful number, since it uses less digits than its factorization.

1212210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1212210020 is about 34816.8065738373. The cubic root of 1212210020 is about 1066.2506031395.

Adding to 1212210020 its reverse (200122121), we get a palindrome (1412332141).

The spelling of 1212210020 in words is "one billion, two hundred twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 83 98 140 166 196 245 332 343 415 490 581 686 830 980 1162 1372 1660 1715 2129 2324 2905 3430 4067 4258 5810 6860 8134 8516 10645 11620 14903 16268 20335 21290 28469 29806 40670 42580 56938 59612 74515 81340 104321 113876 142345 149030 176707 208642 284690 298060 353414 417284 521605 569380 706828 730247 883535 1043210 1236949 1460494 1767070 2086420 2473898 2920988 3534140 3651235 4947796 6184745 7302470 8658643 12369490 14604940 17317286 24738980 34634572 43293215 60610501 86586430 121221002 173172860 242442004 303052505 606105010 1212210020