23120512000 has 88 divisors (see below), whose sum is σ = 57680939160. Its totient is φ = 9248153600.

The previous prime is 23120511983. The next prime is 23120512021. The reversal of 23120512000 is 21502132.

It can be written as a sum of positive squares in 4 ways, for example, as 702038016 + 22418473984 = 26496^2 + 149728^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37686 + ... + 218314.

Almost surely, 2^23120512000 is an apocalyptic number.

23120512000 is a gapful number since it is divisible by the number (20) 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 23120512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28840469580).

23120512000 is an abundant number, since it is smaller than the sum of its proper divisors (34560427160).

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

23120512000 is an equidigital number, since it uses as much as digits as its factorization.

23120512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180664 (or 180636 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

It can be divided in two parts, 23120 and 512000, that multiplied together give a square (11837440000 = 108800²).

The spelling of 23120512000 in words is "twenty-three billion, one hundred twenty million, five hundred twelve thousand".