120295576228356 has 81 divisors (see below), whose sum is σ = 306307143627303. Its totient is φ = 39807019659600.

The previous prime is 120295576228337. The next prime is 120295576228361. The reversal of 120295576228356 is 653822675592021.

It is a happy number.

The square root of 120295576228356 is 10967934.

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

120295576228356 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 9 + 5 + 57 + 6 + 228 + 356 = 666.

It is a super-2 number, since 2×120295576228356² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120295576228293 and 120295576228302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9147250381 + ... + 9147263531.

Almost surely, 2^{120295576228356} is an apocalyptic number.

120295576228356 is the 10967934-th square number.

It is an amenable number.

120295576228356 is an abundant number, since it is smaller than the sum of its proper divisors (186011567398947).

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

120295576228356 is an frugal number, since it uses more digits than its factorization.

120295576228356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26590 (or 13295 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 120295576228356 in words is "one hundred twenty trillion, two hundred ninety-five billion, five hundred seventy-six million, two hundred twenty-eight thousand, three hundred fifty-six".