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12220860304 = 242929532
BaseRepresentation
bin10110110000110101…
…11000011110010000
31011112200201000201201
423120122320132100
5200012020012204
65340355240544
7611562412222
oct133032703620
934480630651
1012220860304
1152013a2254
1224508a9154
1311c9b439b3
1483d0b0412
154b7d4a9a4
hex2d86b8790

12220860304 has 45 divisors (see below), whose sum is σ = 24548310163. Its totient is φ = 5893534976.

The previous prime is 12220860271. The next prime is 12220860307. The reversal of 12220860304 is 40306802221.

The square root of 12220860304 is 110548.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 43296400 + 12177563904 = 6580^2 + 110352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220860307) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12823092 + ... + 12824044.

Almost surely, 212220860304 is an apocalyptic number.

12220860304 is the 110548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220860304

12220860304 is an abundant number, since it is smaller than the sum of its proper divisors (12327449859).

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

12220860304 is an frugal number, since it uses more digits than its factorization.

12220860304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 12220860304 in words is "twelve billion, two hundred twenty million, eight hundred sixty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 953 1682 1906 3364 3812 6728 7624 13456 15248 27637 55274 110548 221096 442192 801473 908209 1602946 1816418 3205892 3632836 6411784 7265672 12823568 14531344 26338061 52676122 105352244 210704488 421408976 763803769 1527607538 3055215076 6110430152 12220860304