20412400112 has 80 divisors (see below), whose sum is σ = 44896709760. Its totient is φ = 8912560896.

The previous prime is 20412400091. The next prime is 20412400133. The reversal of 20412400112 is 21100421402.

It is an interprime number because it is at equal distance from previous prime (20412400091) and next prime (20412400133).

It is a super-2 number, since 2×20412400112² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3106943 + ... + 3113505.

It is an arithmetic number, because the mean of its divisors is an integer number (561208872).

Almost surely, 2^20412400112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20412400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22448354880).

20412400112 is an abundant number, since it is smaller than the sum of its proper divisors (24484309648).

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

20412400112 is a wasteful number, since it uses less digits than its factorization.

20412400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7390 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20412400112 its reverse (21100421402), we get a palindrome (41512821514).

The spelling of 20412400112 in words is "twenty billion, four hundred twelve million, four hundred thousand, one hundred twelve".