20121034312400 has 120 divisors (see below), whose sum is σ = 57648638120064. Its totient is φ = 6598699430400.

The previous prime is 20121034312399. The next prime is 20121034312429. The reversal of 20121034312400 is 421343012102.

20121034312400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 156154811 + ... + 156283610.

Almost surely, 2^{20121034312400} is an apocalyptic number.

20121034312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121034312400 is an abundant number, since it is smaller than the sum of its proper divisors (37527603807664).

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

20121034312400 is a wasteful number, since it uses less digits than its factorization.

20121034312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312438469 (or 312438458 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 20121034312400 its reverse (421343012102), we get a palindrome (20542377324502).

The spelling of 20121034312400 in words is "twenty trillion, one hundred twenty-one billion, thirty-four million, three hundred twelve thousand, four hundred".