126007464271920 has 320 divisors, whose sum is σ = 498888979061760. Its totient is φ = 25544750284800.

The previous prime is 126007464271919. The next prime is 126007464271933. The reversal of 126007464271920 is 29172464700621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82395805 + ... + 83911164.

It is an arithmetic number, because the mean of its divisors is an integer number (1559028059568).

Almost surely, 2^{126007464271920} is an apocalyptic number.

126007464271920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126007464271920 is an abundant number, since it is smaller than the sum of its proper divisors (372881514789840).

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

126007464271920 is a wasteful number, since it uses less digits than its factorization.

126007464271920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166307044 (or 166307038 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 126007464271920 in words is "one hundred twenty-six trillion, seven billion, four hundred sixty-four million, two hundred seventy-one thousand, nine hundred twenty".