20112112112120 has 128 divisors (see below), whose sum is σ = 54933980976000. Its totient is φ = 6469223694336.

The previous prime is 20112112112117. The next prime is 20112112112123. The reversal of 20112112112120 is 2121121121102.

It is an interprime number because it is at equal distance from previous prime (20112112112117) and next prime (20112112112123).

It is a super-2 number, since 2×20112112112120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112112112123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5259695 + ... + 8239454.

It is an arithmetic number, because the mean of its divisors is an integer number (429171726375).

Almost surely, 2^{20112112112120} is an apocalyptic number.

20112112112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112112112120 is an abundant number, since it is smaller than the sum of its proper divisors (34821868863880).

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

20112112112120 is a wasteful number, since it uses less digits than its factorization.

20112112112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13499497 (or 13499493 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 20112112112120 its reverse (2121121121102), we get a palindrome (22233233233222).

The spelling of 20112112112120 in words is "twenty trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".