23121962971300 has 576 divisors, whose sum is σ = 56465985945600. Its totient is φ = 8181347328000.

The previous prime is 23121962971223. The next prime is 23121962971313. The reversal of 23121962971300 is 317926912132.

It is a happy 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 191 ways as a sum of consecutive naturals, for example, 63002623717 + ... + 63002624083.

It is an arithmetic number, because the mean of its divisors is an integer number (98031225600).

Almost surely, 2^{23121962971300} is an apocalyptic number.

23121962971300 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 23121962971300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28232992972800).

23121962971300 is an abundant number, since it is smaller than the sum of its proper divisors (33344022974300).

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

23121962971300 is a wasteful number, since it uses less digits than its factorization.

23121962971300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 23121962971300 in words is "twenty-three trillion, one hundred twenty-one billion, nine hundred sixty-two million, nine hundred seventy-one thousand, three hundred".