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12240859050 = 2335272211877
BaseRepresentation
bin10110110011001110…
…01010111110101010
31011121002100001212000
423121213022332222
5200032124442200
65342352031430
7612224404500
oct133147127652
934532301760
1012240859050
115211711642
122457532576
131201026684
148419d8670
154b999b300
hex2d99cafaa

12240859050 has 288 divisors, whose sum is σ = 39468277440. Its totient is φ = 2781475200.

The previous prime is 12240859039. The next prime is 12240859069. The reversal of 12240859050 is 5095804221.

12240859050 is a `hidden beast` number, since 1 + 22 + 40 + 8 + 590 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12240858996 and 12240859014.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13957212 + ... + 13958088.

It is an arithmetic number, because the mean of its divisors is an integer number (137042630).

Almost surely, 212240859050 is an apocalyptic number.

12240859050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240859050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19734138720).

12240859050 is an abundant number, since it is smaller than the sum of its proper divisors (27227418390).

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

12240859050 is a wasteful number, since it uses less digits than its factorization.

12240859050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 12240859050 in words is "twelve billion, two hundred forty million, eight hundred fifty-nine thousand, fifty".