126294952000 has 336 divisors, whose sum is σ = 365888016000. Its totient is φ = 43056921600.

The previous prime is 126294951983. The next prime is 126294952051. The reversal of 126294952000 is 259492621.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78007191 + ... + 78008809.

Almost surely, 2^126294952000 is an apocalyptic number.

126294952000 is a gapful number since it is divisible by the number (10) 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 126294952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182944008000).

126294952000 is an abundant number, since it is smaller than the sum of its proper divisors (239593064000).

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

126294952000 is a wasteful number, since it uses less digits than its factorization.

126294952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 126294952000 in words is "one hundred twenty-six billion, two hundred ninety-four million, nine hundred fifty-two thousand".