126286830972 has 192 divisors, whose sum is σ = 351619107840. Its totient is φ = 39055951872.

The previous prime is 126286830913. The next prime is 126286830991. The reversal of 126286830972 is 279038682621.

126286830972 is a `hidden beast` number, since 1 + 2 + 628 + 6 + 8 + 3 + 0 + 9 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130596033 + ... + 130596999.

It is an arithmetic number, because the mean of its divisors is an integer number (1831349520).

Almost surely, 2^126286830972 is an apocalyptic number.

126286830972 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 126286830972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175809553920).

126286830972 is an abundant number, since it is smaller than the sum of its proper divisors (225332276868).

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

126286830972 is a wasteful number, since it uses less digits than its factorization.

126286830972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 126286830972 in words is "one hundred twenty-six billion, two hundred eighty-six million, eight hundred thirty thousand, nine hundred seventy-two".