120680061138 has 672 divisors, whose sum is σ = 361915978752. Its totient is φ = 29477260800.

The previous prime is 120680061133. The next prime is 120680061149. The reversal of 120680061138 is 831160086021.

120680061138 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 8 + 0 + 0 + 611 + 38 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120680061133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1978361628 + ... + 1978361688.

Almost surely, 2^120680061138 is an apocalyptic number.

120680061138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120680061138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180957989376).

120680061138 is an abundant number, since it is smaller than the sum of its proper divisors (241235917614).

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

120680061138 is a wasteful number, since it uses less digits than its factorization.

120680061138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 120680061138 in words is "one hundred twenty billion, six hundred eighty million, sixty-one thousand, one hundred thirty-eight".