20121120232400 has 240 divisors, whose sum is σ = 53294817871680. Its totient is φ = 7239230668800.

The previous prime is 20121120232391. The next prime is 20121120232427. The reversal of 20121120232400 is 423202112102.

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

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 47 ways as a sum of consecutive naturals, for example, 2863397687 + ... + 2863404713.

It is an arithmetic number, because the mean of its divisors is an integer number (222061741132).

Almost surely, 2^{20121120232400} is an apocalyptic number.

20121120232400 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 20121120232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26647408935840).

20121120232400 is an abundant number, since it is smaller than the sum of its proper divisors (33173697639280).

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

20121120232400 is a wasteful number, since it uses less digits than its factorization.

20121120232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13862 (or 13851 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20121120232400 its reverse (423202112102), we get a palindrome (20544322344502).

The spelling of 20121120232400 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty million, two hundred thirty-two thousand, four hundred".