23121012000000 has 504 divisors, whose sum is σ = 77164164161056. Its totient is φ = 6145920000000.

The previous prime is 23121011999951. The next prime is 23121012000041. The reversal of 23121012000000 is 21012132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 23121012000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3971997090 + ... + 3972002910.

Almost surely, 2^{23121012000000} is an apocalyptic number.

23121012000000 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 23121012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38582082080528).

23121012000000 is an abundant number, since it is smaller than the sum of its proper divisors (54043152161056).

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

23121012000000 is an frugal number, since it uses more digits than its factorization.

23121012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 23121012000000 its reverse (21012132), we get a palindrome (23121033012132).

The spelling of 23121012000000 in words is "twenty-three trillion, one hundred twenty-one billion, twelve million", and thus it is an aban number.