126528753312 has 216 divisors, whose sum is σ = 406567141344. Its totient is φ = 37238902272.

The previous prime is 126528753301. The next prime is 126528753343. The reversal of 126528753312 is 213357825621.

126528753312 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 287 + 53 + 312 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1062943 + ... + 1175969.

It is an arithmetic number, because the mean of its divisors is an integer number (1882255284).

Almost surely, 2^126528753312 is an apocalyptic number.

126528753312 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 126528753312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203283570672).

126528753312 is an abundant number, since it is smaller than the sum of its proper divisors (280038388032).

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

126528753312 is a wasteful number, since it uses less digits than its factorization.

126528753312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113092 (or 113068 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 126528753312 in words is "one hundred twenty-six billion, five hundred twenty-eight million, seven hundred fifty-three thousand, three hundred twelve".