126301986720 has 768 divisors, whose sum is σ = 549629660160. Its totient is φ = 26376192000.

The previous prime is 126301986719. The next prime is 126301986737. The reversal of 126301986720 is 27689103621.

126301986720 is a `hidden beast` number, since 1 + 2 + 630 + 1 + 9 + 8 + 6 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39703530 + ... + 39706710.

It is an arithmetic number, because the mean of its divisors is an integer number (715663620).

Almost surely, 2^126301986720 is an apocalyptic number.

126301986720 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 126301986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274814830080).

126301986720 is an abundant number, since it is smaller than the sum of its proper divisors (423327673440).

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

126301986720 is a wasteful number, since it uses less digits than its factorization.

126301986720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 126301986720 in words is "one hundred twenty-six billion, three hundred one million, nine hundred eighty-six thousand, seven hundred twenty".