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12104442240 = 2735112919763
BaseRepresentation
bin10110100010111101…
…10010000110000000
31011020120122101011120
423101132302012000
5144242214122430
65321040112240
7605650030032
oct132136620600
934216571146
1012104442240
115151707680
122419905680
1311ab9a2277
1482b847c52
154aca01610
hex2d17b2180

12104442240 has 256 divisors, whose sum is σ = 43544044800. Its totient is φ = 2833080320.

The previous prime is 12104442223. The next prime is 12104442281. The reversal of 12104442240 is 4224440121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12104442240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602599 + ... + 622361.

It is an arithmetic number, because the mean of its divisors is an integer number (170093925).

Almost surely, 212104442240 is an apocalyptic number.

12104442240 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 12104442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772022400).

12104442240 is an abundant number, since it is smaller than the sum of its proper divisors (31439602560).

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

12104442240 is a wasteful number, since it uses less digits than its factorization.

12104442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19825 (or 19813 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12104442240 its reverse (4224440121), we get a palindrome (16328882361).

The spelling of 12104442240 in words is "twelve billion, one hundred four million, four hundred forty-two thousand, two hundred forty".