120825196978176 has 1792 divisors, whose sum is σ = 404110281277440. Its totient is φ = 35946469785600.

The previous prime is 120825196978127. The next prime is 120825196978183. The reversal of 120825196978176 is 671879691528021.

It is a happy number.

120825196978176 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 2 + 519 + 6 + 97 + 8 + 17 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 632592654241 + ... + 632592654431.

Almost surely, 2^{120825196978176} is an apocalyptic number.

120825196978176 is a gapful number since it is divisible by the number (16) 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 120825196978176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202055140638720).

120825196978176 is an abundant number, since it is smaller than the sum of its proper divisors (283285084299264).

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

120825196978176 is an frugal number, since it uses more digits than its factorization.

120825196978176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 120825196978176 in words is "one hundred twenty trillion, eight hundred twenty-five billion, one hundred ninety-six million, nine hundred seventy-eight thousand, one hundred seventy-six".