123425420172288 has 1408 divisors, whose sum is σ = 397190834159616. Its totient is φ = 33710564966400.

The previous prime is 123425420172179. The next prime is 123425420172343. The reversal of 123425420172288 is 882271024524321.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 123425420172288.

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, 163045468806 + ... + 163045469562.

Almost surely, 2^{123425420172288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123425420172288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198595417079808).

123425420172288 is an abundant number, since it is smaller than the sum of its proper divisors (273765413987328).

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

123425420172288 is a wasteful number, since it uses less digits than its factorization.

123425420172288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 123425420172288 in words is "one hundred twenty-three trillion, four hundred twenty-five billion, four hundred twenty million, one hundred seventy-two thousand, two hundred eighty-eight".