12110376960 has 624 divisors, whose sum is σ = 47585123040. Its totient is φ = 2919628800.

The previous prime is 12110376917. The next prime is 12110376979. The reversal of 12110376960 is 6967301121.

It is a super-2 number, since 2×12110376960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66908070 + ... + 66908250.

It is an arithmetic number, because the mean of its divisors is an integer number (76258210).

Almost surely, 2^12110376960 is an apocalyptic number.

12110376960 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 12110376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23792561520).

12110376960 is an abundant number, since it is smaller than the sum of its proper divisors (35474746080).

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

12110376960 is a wasteful number, since it uses less digits than its factorization.

12110376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 12110376960 in words is "twelve billion, one hundred ten million, three hundred seventy-six thousand, nine hundred sixty".