126971008557120 has 560 divisors, whose sum is σ = 555887044086528. Its totient is φ = 26789487022080.

The previous prime is 126971008557089. The next prime is 126971008557131. The reversal of 126971008557120 is 21755800179621.

126971008557120 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 71 + 0 + 0 + 8 + 557 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×126971008557120² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24556516 + ... + 29273955.

Almost surely, 2^{126971008557120} is an apocalyptic number.

126971008557120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126971008557120 is an abundant number, since it is smaller than the sum of its proper divisors (428916035529408).

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

126971008557120 is a wasteful number, since it uses less digits than its factorization.

126971008557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53830520 (or 53830501 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 126971008557120 in words is "one hundred twenty-six trillion, nine hundred seventy-one billion, eight million, five hundred fifty-seven thousand, one hundred twenty".