126797137200 has 360 divisors, whose sum is σ = 446530202976. Its totient is φ = 33315840000.

The previous prime is 126797137177. The next prime is 126797137211. The reversal of 126797137200 is 2731797621.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87626877 + ... + 87628323.

Almost surely, 2^126797137200 is an apocalyptic number.

126797137200 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 126797137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223265101488).

126797137200 is an abundant number, since it is smaller than the sum of its proper divisors (319733065776).

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

126797137200 is a wasteful number, since it uses less digits than its factorization.

126797137200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 126797137200 in words is "one hundred twenty-six billion, seven hundred ninety-seven million, one hundred thirty-seven thousand, two hundred".