124125426432 has 648 divisors, whose sum is σ = 442240134336. Its totient is φ = 34603075584.

The previous prime is 124125426431. The next prime is 124125426461. The reversal of 124125426432 is 234624521421.

124125426432 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 2 + 5 + 4 + 2 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (124125426431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131071783 + ... + 131072729.

Almost surely, 2^124125426432 is an apocalyptic number.

124125426432 is a gapful number since it is divisible by the number (12) 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 124125426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221120067168).

124125426432 is an abundant number, since it is smaller than the sum of its proper divisors (318114707904).

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

124125426432 is an frugal number, since it uses more digits than its factorization.

124125426432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1002 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 124125426432 its reverse (234624521421), we get a palindrome (358749947853).

The spelling of 124125426432 in words is "one hundred twenty-four billion, one hundred twenty-five million, four hundred twenty-six thousand, four hundred thirty-two".