12023868960 has 192 divisors, whose sum is σ = 42457685760. Its totient is φ = 3177861120.

The previous prime is 12023868911. The next prime is 12023868973. The reversal of 12023868960 is 6986832021.

12023868960 is a `hidden beast` number, since 1 + 202 + 386 + 8 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475845 + ... + 500475.

It is an arithmetic number, because the mean of its divisors is an integer number (221133780).

Almost surely, 2^12023868960 is an apocalyptic number.

12023868960 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 12023868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228842880).

12023868960 is an abundant number, since it is smaller than the sum of its proper divisors (30433816800).

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

12023868960 is a wasteful number, since it uses less digits than its factorization.

12023868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24768 (or 24754 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

It can be divided in two parts, 1202386 and 8960, that added together give a triangular number (1211346 = T₁₅₅₆).

The spelling of 12023868960 in words is "twelve billion, twenty-three million, eight hundred sixty-eight thousand, nine hundred sixty".