126050994720 has 1440 divisors, whose sum is σ = 563960517120. Its totient is φ = 26336378880.

The previous prime is 126050994673. The next prime is 126050994757. The reversal of 126050994720 is 27499050621.

126050994720 is a `hidden beast` number, since 12 + 60 + 509 + 9 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 374038392 + ... + 374038728.

It is an arithmetic number, because the mean of its divisors is an integer number (391639248).

Almost surely, 2^126050994720 is an apocalyptic number.

126050994720 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 126050994720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281980258560).

126050994720 is an abundant number, since it is smaller than the sum of its proper divisors (437909522400).

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

126050994720 is a wasteful number, since it uses less digits than its factorization.

126050994720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 126050994720 in words is "one hundred twenty-six billion, fifty million, nine hundred ninety-four thousand, seven hundred twenty".