126627431112 has 512 divisors, whose sum is σ = 448049280000. Its totient is φ = 32920473600.

The previous prime is 126627431101. The next prime is 126627431167. The reversal of 126627431112 is 211134726621.

126627431112 is a `hidden beast` number, since 1 + 2 + 6 + 627 + 4 + 3 + 11 + 12 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 127 ways as a sum of consecutive naturals, for example, 70308612 + ... + 70310412.

It is an arithmetic number, because the mean of its divisors is an integer number (875096250).

Almost surely, 2^126627431112 is an apocalyptic number.

126627431112 is a gapful number since it is divisible by the number (12) 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 126627431112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224024640000).

126627431112 is an abundant number, since it is smaller than the sum of its proper divisors (321421848888).

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

126627431112 is a wasteful number, since it uses less digits than its factorization.

126627431112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1899 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 126627431112 in words is "one hundred twenty-six billion, six hundred twenty-seven million, four hundred thirty-one thousand, one hundred twelve".