23204020100000 has 288 divisors, whose sum is σ = 58309684160112. Its totient is φ = 9085772800000.

The previous prime is 23204020099999. The next prime is 23204020100033. The reversal of 23204020100000 is 102040232.

It can be written as a sum of positive squares in 24 ways, for example, as 22542706343056 + 661313756944 = 4747916^2 + 813212^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2443295252 + ... + 2443304748.

Almost surely, 2^{23204020100000} is an apocalyptic number.

23204020100000 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 23204020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29154842080056).

23204020100000 is an abundant number, since it is smaller than the sum of its proper divisors (35105664060112).

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

23204020100000 is an frugal number, since it uses more digits than its factorization.

23204020100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 23204020100000 its reverse (102040232), we get a palindrome (23204122140232).

The spelling of 23204020100000 in words is "twenty-three trillion, two hundred four billion, twenty million, one hundred thousand".