126529923312 has 320 divisors, whose sum is σ = 414490137600. Its totient is φ = 36634291200.

The previous prime is 126529923301. The next prime is 126529923349. The reversal of 126529923312 is 213329925621.

126529923312 is a `hidden beast` number, since 1 + 2 + 6 + 529 + 92 + 3 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16108378 + ... + 16116230.

It is an arithmetic number, because the mean of its divisors is an integer number (1295281680).

Almost surely, 2^126529923312 is an apocalyptic number.

126529923312 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 126529923312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207245068800).

126529923312 is an abundant number, since it is smaller than the sum of its proper divisors (287960214288).

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

126529923312 is a wasteful number, since it uses less digits than its factorization.

126529923312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8053 (or 8041 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 126529923312 in words is "one hundred twenty-six billion, five hundred twenty-nine million, nine hundred twenty-three thousand, three hundred twelve".