12011772960 has 384 divisors, whose sum is σ = 48564230400. Its totient is φ = 2740469760.

The previous prime is 12011772959. The next prime is 12011772973. The reversal of 12011772960 is 6927711021.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 800406 + ... + 815274.

It is an arithmetic number, because the mean of its divisors is an integer number (126469350).

Almost surely, 2^12011772960 is an apocalyptic number.

12011772960 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 12011772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24282115200).

12011772960 is an abundant number, since it is smaller than the sum of its proper divisors (36552457440).

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

12011772960 is a wasteful number, since it uses less digits than its factorization.

12011772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14921 (or 14907 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 12011772960 in words is "twelve billion, eleven million, seven hundred seventy-two thousand, nine hundred sixty".