126984126984127 has 64 divisors (see below), whose sum is σ = 149915016232960. Its totient is φ = 105303976936704.

The previous prime is 126984126984073. The next prime is 126984126984181. The reversal of 126984126984127 is 721489621489621.

It is an interprime number because it is at equal distance from previous prime (126984126984073) and next prime (126984126984181).

It is not a de Polignac number, because 126984126984127 - 2²⁷ = 126983992766399 is a prime.

It is a super-2 number, since 2×126984126984127² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126984126954127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28555007218 + ... + 28555011664.

It is an arithmetic number, because the mean of its divisors is an integer number (2342422128640).

Almost surely, 2^{126984126984127} is an apocalyptic number.

126984126984127 is a deficient number, since it is larger than the sum of its proper divisors (22930889248833).

126984126984127 is a wasteful number, since it uses less digits than its factorization.

126984126984127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492.

The product of its digits is 167215104, while the sum is 70.

The spelling of 126984126984127 in words is "one hundred twenty-six trillion, nine hundred eighty-four billion, one hundred twenty-six million, nine hundred eighty-four thousand, one hundred twenty-seven".