126991872000 has 1248 divisors, whose sum is σ = 544320651264. Its totient is φ = 27869184000.

The previous prime is 126991871959. The next prime is 126991872011. The reversal of 126991872000 is 278199621.

126991872000 is a `hidden beast` number, since 1 + 269 + 9 + 187 + 200 + 0 = 666.

It is a super-2 number, since 2×126991872000² (a number of 23 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 999935937 + ... + 999936063.

It is an arithmetic number, because the mean of its divisors is an integer number (436154368).

Almost surely, 2^126991872000 is an apocalyptic number.

126991872000 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 126991872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160325632).

126991872000 is an abundant number, since it is smaller than the sum of its proper divisors (417328779264).

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

126991872000 is a wasteful number, since it uses less digits than its factorization.

126991872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

It can be divided in two parts, 126991 and 872000, that added together give a triangular number (998991 = T₁₄₁₃).

The spelling of 126991872000 in words is "one hundred twenty-six billion, nine hundred ninety-one million, eight hundred seventy-two thousand".