126727387200 has 252 divisors, whose sum is σ = 470003721408. Its totient is φ = 32324582400.

The previous prime is 126727387153. The next prime is 126727387217. The reversal of 126727387200 is 2783727621.

126727387200 is a `hidden beast` number, since 1 + 2 + 67 + 2 + 7 + 387 + 200 = 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 35 ways as a sum of consecutive naturals, for example, 139885 + ... + 522515.

Almost surely, 2^126727387200 is an apocalyptic number.

126727387200 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 126727387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235001860704).

126727387200 is an abundant number, since it is smaller than the sum of its proper divisors (343276334208).

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

126727387200 is a wasteful number, since it uses less digits than its factorization.

126727387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382682 (or 382664 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 126727387200 in words is "one hundred twenty-six billion, seven hundred twenty-seven million, three hundred eighty-seven thousand, two hundred".