12116903040 has 576 divisors, whose sum is σ = 47401848000. Its totient is φ = 2828390400.

The previous prime is 12116902999. The next prime is 12116903087. The reversal of 12116903040 is 4030961121.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×12116903040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12116902995 and 12116903013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60888861 + ... + 60889059.

It is an arithmetic number, because the mean of its divisors is an integer number (82294875).

Almost surely, 2^12116903040 is an apocalyptic number.

12116903040 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 12116903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23700924000).

12116903040 is an abundant number, since it is smaller than the sum of its proper divisors (35284944960).

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

12116903040 is a wasteful number, since it uses less digits than its factorization.

12116903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12116903040 in words is "twelve billion, one hundred sixteen million, nine hundred three thousand, forty".