2120000112120 has 512 divisors, whose sum is σ = 7109243458560. Its totient is φ = 501473280000.

The previous prime is 2120000112023. The next prime is 2120000112151. The reversal of 2120000112120 is 212110000212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120000112096 and 2120000112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5035629510 + ... + 5035629930.

It is an arithmetic number, because the mean of its divisors is an integer number (13885241130).

Almost surely, 2^{2120000112120} is an apocalyptic number.

2120000112120 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 2120000112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554621729280).

2120000112120 is an abundant number, since it is smaller than the sum of its proper divisors (4989243346440).

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

2120000112120 is a wasteful number, since it uses less digits than its factorization.

2120000112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2120000112120 its reverse (212110000212), we get a palindrome (2332110112332).

The spelling of 2120000112120 in words is "two trillion, one hundred twenty billion, one hundred twelve thousand, one hundred twenty".