2153124001120 has 96 divisors (see below), whose sum is σ = 5196333679488. Its totient is φ = 842706198528.

The previous prime is 2153124001111. The next prime is 2153124001229. The reversal of 2153124001120 is 211004213512.

It is a super-2 number, since 2×2153124001120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2153124001091 and 2153124001100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30593812 + ... + 30664108.

It is an arithmetic number, because the mean of its divisors is an integer number (54128475828).

Almost surely, 2^{2153124001120} is an apocalyptic number.

2153124001120 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 2153124001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598166839744).

2153124001120 is an abundant number, since it is smaller than the sum of its proper divisors (3043209678368).

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

2153124001120 is a wasteful number, since it uses less digits than its factorization.

2153124001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74432 (or 74424 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 2153124001120 its reverse (211004213512), we get a palindrome (2364128214632).

The spelling of 2153124001120 in words is "two trillion, one hundred fifty-three billion, one hundred twenty-four million, one thousand, one hundred twenty".