2122128457152 has 336 divisors, whose sum is σ = 6255496719360. Its totient is φ = 634366177280.

The previous prime is 2122128457117. The next prime is 2122128457153. The reversal of 2122128457152 is 2517548212212.

It is a super-2 number, since 2×2122128457152² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122128457153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1164084913 + ... + 1164086735.

It is an arithmetic number, because the mean of its divisors is an integer number (18617549760).

Almost surely, 2^{2122128457152} is an apocalyptic number.

2122128457152 is a gapful number since it is divisible by the number (22) 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 2122128457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127748359680).

2122128457152 is an abundant number, since it is smaller than the sum of its proper divisors (4133368262208).

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

2122128457152 is a wasteful number, since it uses less digits than its factorization.

2122128457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2491 counting only the distinct ones).

The product of its digits is 179200, while the sum is 42.

The spelling of 2122128457152 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-eight million, four hundred fifty-seven thousand, one hundred fifty-two".