126960124032 has 768 divisors, whose sum is σ = 456354201600. Its totient is φ = 34017822720.

The previous prime is 126960124021. The next prime is 126960124037. The reversal of 126960124032 is 230421069621.

It is a happy number.

126960124032 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 601 + 2 + 40 + 3 + 2 = 666.

It is a super-2 number, since 2×126960124032² (a number of 23 digits) contains 22 as substring.

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 (126960124037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 999685953 + ... + 999686079.

It is an arithmetic number, because the mean of its divisors is an integer number (594211200).

Almost surely, 2^126960124032 is an apocalyptic number.

126960124032 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 126960124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228177100800).

126960124032 is an abundant number, since it is smaller than the sum of its proper divisors (329394077568).

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

126960124032 is a wasteful number, since it uses less digits than its factorization.

126960124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 126960124032 in words is "one hundred twenty-six billion, nine hundred sixty million, one hundred twenty-four thousand, thirty-two".