20131112120 has 128 divisors (see below), whose sum is σ = 54351475200. Its totient is φ = 6564450816.

The previous prime is 20131112117. The next prime is 20131112147. The reversal of 20131112120 is 2121113102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20131112095 and 20131112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525539 + ... + 562541.

It is an arithmetic number, because the mean of its divisors is an integer number (424620900).

Almost surely, 2^20131112120 is an apocalyptic number.

20131112120 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 20131112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27175737600).

20131112120 is an abundant number, since it is smaller than the sum of its proper divisors (34220363080).

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

20131112120 is a wasteful number, since it uses less digits than its factorization.

20131112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37117 (or 37113 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 20131112120 its reverse (2121113102), we get a palindrome (22252225222).

The spelling of 20131112120 in words is "twenty billion, one hundred thirty-one million, one hundred twelve thousand, one hundred twenty".