125979208610116 has 243 divisors, whose sum is σ = 253519744452093. Its totient is φ = 54758977701120.

The previous prime is 125979208610071. The next prime is 125979208610153. The reversal of 125979208610116 is 611016802979521.

The square root of 125979208610116 is 11224046.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 98080698744900 + 27898509865216 = 9903570^2 + 5281904^2 .

It is a super-2 number, since 2×125979208610116² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 272093322901 + ... + 272093323363.

Almost surely, 2^{125979208610116} is an apocalyptic number.

125979208610116 is the 11224046-th square number.

It is an amenable number.

125979208610116 is an abundant number, since it is smaller than the sum of its proper divisors (127540535841977).

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

125979208610116 is an equidigital number, since it uses as much as digits as its factorization.

125979208610116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 58.

The spelling of 125979208610116 in words is "one hundred twenty-five trillion, nine hundred seventy-nine billion, two hundred eight million, six hundred ten thousand, one hundred sixteen".