126998710272000 has 1200 divisors, whose sum is σ = 541161518946048. Its totient is φ = 29028011212800.

The previous prime is 126998710271999. The next prime is 126998710272059. The reversal of 126998710272000 is 272017899621.

126998710272000 is a `hidden beast` number, since 1 + 269 + 98 + 71 + 0 + 27 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×126998710272000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1161161317 + ... + 1161270683.

Almost surely, 2^{126998710272000} is an apocalyptic number.

126998710272000 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 126998710272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270580759473024).

126998710272000 is an abundant number, since it is smaller than the sum of its proper divisors (414162808674048).

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

126998710272000 is an frugal number, since it uses more digits than its factorization.

126998710272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109429 (or 109384 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 126998710272000 in words is "one hundred twenty-six trillion, nine hundred ninety-eight billion, seven hundred ten million, two hundred seventy-two thousand".