20112332040400 has 240 divisors, whose sum is σ = 51391726968960. Its totient is φ = 7542367488000.

The previous prime is 20112332040391. The next prime is 20112332040403. The reversal of 20112332040400 is 404023321102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112332040403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1962748077 + ... + 1962758323.

It is an arithmetic number, because the mean of its divisors is an integer number (214132195704).

Almost surely, 2^{20112332040400} is an apocalyptic number.

20112332040400 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 20112332040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25695863484480).

20112332040400 is an abundant number, since it is smaller than the sum of its proper divisors (31279394928560).

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

20112332040400 is a wasteful number, since it uses less digits than its factorization.

20112332040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12942 (or 12931 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20112332040400 its reverse (404023321102), we get a palindrome (20516355361502).

The spelling of 20112332040400 in words is "twenty trillion, one hundred twelve billion, three hundred thirty-two million, forty thousand, four hundred".