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12220105120 = 255136755871
BaseRepresentation
bin10110110000110000…
…00000000110100000
31011112122021122210221
423120120000012200
5200011321330440
65340331132424
7611553115426
oct133030000640
934478248727
1012220105120
115200a26933
1224505a4114
1311c993b042
1483cd55116
154b7c4bd4a
hex2d86001a0

12220105120 has 48 divisors (see below), whose sum is σ = 28891634688. Its totient is φ = 4884378880.

The previous prime is 12220105069. The next prime is 12220105123. The reversal of 12220105120 is 2150102221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12220105094 and 12220105103.

It is not an unprimeable number, because it can be changed into a prime (12220105123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190785 + ... + 246655.

It is an arithmetic number, because the mean of its divisors is an integer number (601909056).

Almost surely, 212220105120 is an apocalyptic number.

12220105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220105120 is an abundant number, since it is smaller than the sum of its proper divisors (16671529568).

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

12220105120 is a wasteful number, since it uses less digits than its factorization.

12220105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57253 (or 57245 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 12220105120 its reverse (2150102221), we get a palindrome (14370207341).

The spelling of 12220105120 in words is "twelve billion, two hundred twenty million, one hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1367 2734 5468 6835 10936 13670 21872 27340 43744 54680 55871 109360 111742 218720 223484 279355 446968 558710 893936 1117420 1787872 2234840 4469680 8939360 76375657 152751314 305502628 381878285 611005256 763756570 1222010512 1527513140 2444021024 3055026280 6110052560 12220105120