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12123315204 = 223721113314651
BaseRepresentation
bin10110100101001101…
…10001110000000100
31011021220011020000020
423102212301300010
5144312032041304
65322552415140
7606266323200
oct132246616004
934256136006
1012123315204
115161328170
1224240a74b0
1311b287c6c0
1483015bb00
154ae4cd5d9
hex2d29b1c04

12123315204 has 288 divisors, whose sum is σ = 39914606592. Its totient is φ = 2812320000.

The previous prime is 12123315151. The next prime is 12123315223. The reversal of 12123315204 is 40251332121.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2604279 + ... + 2608929.

It is an arithmetic number, because the mean of its divisors is an integer number (138592384).

Almost surely, 212123315204 is an apocalyptic number.

12123315204 is a gapful number since it is divisible by the number (14) 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 12123315204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19957303296).

12123315204 is an abundant number, since it is smaller than the sum of its proper divisors (27791291388).

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

12123315204 is a wasteful number, since it uses less digits than its factorization.

12123315204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12123315204 its reverse (40251332121), we get a palindrome (52374647325).

The spelling of 12123315204 in words is "twelve billion, one hundred twenty-three million, three hundred fifteen thousand, two hundred four".