23121212114000 has 480 divisors, whose sum is σ = 75476590974720. Its totient is φ = 6652249344000.

The previous prime is 23121212113931. The next prime is 23121212114009. The reversal of 23121212114000 is 41121212132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23121212114009) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 25581806 + ... + 26470194.

It is an arithmetic number, because the mean of its divisors is an integer number (157242897864).

Almost surely, 2^{23121212114000} is an apocalyptic number.

23121212114000 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 23121212114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37738295487360).

23121212114000 is an abundant number, since it is smaller than the sum of its proper divisors (52355378860720).

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

23121212114000 is a wasteful number, since it uses less digits than its factorization.

23121212114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888456 (or 888427 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 23121212114000 its reverse (41121212132), we get a palindrome (23162333326132).

The spelling of 23121212114000 in words is "twenty-three trillion, one hundred twenty-one billion, two hundred twelve million, one hundred fourteen thousand".