126676005192 has 512 divisors, whose sum is σ = 418279680000. Its totient is φ = 35103974400.

The previous prime is 126676005167. The next prime is 126676005217. The reversal of 126676005192 is 291500676621.

126676005192 is a `hidden beast` number, since 1 + 2 + 66 + 76 + 0 + 0 + 519 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (126676005167) and next prime (126676005217).

It is a super-2 number, since 2×126676005192² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302329159 + ... + 302329577.

It is an arithmetic number, because the mean of its divisors is an integer number (816952500).

Almost surely, 2^126676005192 is an apocalyptic number.

126676005192 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 126676005192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840000).

126676005192 is an abundant number, since it is smaller than the sum of its proper divisors (291603674808).

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

126676005192 is a wasteful number, since it uses less digits than its factorization.

126676005192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 126676005192 in words is "one hundred twenty-six billion, six hundred seventy-six million, five thousand, one hundred ninety-two".