23121812412160 has 576 divisors, whose sum is σ = 73239579786240. Its totient is φ = 6771026165760.

The previous prime is 23121812412157. The next prime is 23121812412191. The reversal of 23121812412160 is 6121421812132.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 983518486 + ... + 983541994.

It is an arithmetic number, because the mean of its divisors is an integer number (127152048240).

Almost surely, 2^{23121812412160} is an apocalyptic number.

23121812412160 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 23121812412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36619789893120).

23121812412160 is an abundant number, since it is smaller than the sum of its proper divisors (50117767374080).

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

23121812412160 is a wasteful number, since it uses less digits than its factorization.

23121812412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24152 (or 24138 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 23121812412160 in words is "twenty-three trillion, one hundred twenty-one billion, eight hundred twelve million, four hundred twelve thousand, one hundred sixty".