23121354314520 has 1536 divisors, whose sum is σ = 103553415014400. Its totient is φ = 4327288012800.

The previous prime is 23121354314501. The next prime is 23121354314521. The reversal of 23121354314520 is 2541345312132.

23121354314520 is a `hidden beast` number, since 2 + 3 + 1 + 213 + 5 + 431 + 4 + 5 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23121354314521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1063577811 + ... + 1063599549.

It is an arithmetic number, because the mean of its divisors is an integer number (67417587900).

Almost surely, 2^{23121354314520} is an apocalyptic number.

23121354314520 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 23121354314520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51776707507200).

23121354314520 is an abundant number, since it is smaller than the sum of its proper divisors (80432060699880).

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

23121354314520 is a wasteful number, since it uses less digits than its factorization.

23121354314520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21889 (or 21882 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 23121354314520 its reverse (2541345312132), we get a palindrome (25662699626652).

The spelling of 23121354314520 in words is "twenty-three trillion, one hundred twenty-one billion, three hundred fifty-four million, three hundred fourteen thousand, five hundred twenty".