2120122112000 has 192 divisors, whose sum is σ = 5390388712800. Its totient is φ = 832042598400.

The previous prime is 2120122111997. The next prime is 2120122112039. The reversal of 2120122112000 is 2112210212.

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, 13489871 + ... + 13646129.

Almost surely, 2^{2120122112000} is an apocalyptic number.

2120122112000 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 2120122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695194356400).

2120122112000 is an abundant number, since it is smaller than the sum of its proper divisors (3270266600800).

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

2120122112000 is an equidigital number, since it uses as much as digits as its factorization.

2120122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156349 (or 156319 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2120122112000 its reverse (2112210212), we get a palindrome (2122234322212).

It can be divided in two parts, 2120 and 122112000, that multiplied together give a square (258877440000 = 508800²).

The spelling of 2120122112000 in words is "two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twelve thousand".