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12260396940 = 223511171033
BaseRepresentation
bin10110110101100011…
…01100111110001100
31011122110002200210120
423122301230332030
5200102130200230
65344330504540
7612552440331
oct133261547614
934573080716
1012260396940
115221746760
122461b95150
1312050a765c
14844442988
154bb55a310
hex2dac6cf8c

12260396940 has 192 divisors, whose sum is σ = 40041630720. Its totient is φ = 2770222080.

The previous prime is 12260396909. The next prime is 12260396963. The reversal of 12260396940 is 4969306221.

It is a super-2 number, since 2×122603969402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12260396892 and 12260396901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119032929 + ... + 119033031.

It is an arithmetic number, because the mean of its divisors is an integer number (208550160).

Almost surely, 212260396940 is an apocalyptic number.

12260396940 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 12260396940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20020815360).

12260396940 is an abundant number, since it is smaller than the sum of its proper divisors (27781233780).

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

12260396940 is a wasteful number, since it uses less digits than its factorization.

12260396940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 12260396940 in words is "twelve billion, two hundred sixty million, three hundred ninety-six thousand, nine hundred forty".