120570413967936 has 189 divisors, whose sum is σ = 354259761882793. Its totient is φ = 39206376975360.

The previous prime is 120570413967923. The next prime is 120570413967947. The reversal of 120570413967936 is 639769314075021.

It is a happy number.

The square root of 120570413967936 is 10980456.

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

120570413967936 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 70 + 413 + 9 + 67 + 93 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5809758198336 + 114760655769600 = 2410344^2 + 10712640^2 .

It is a super-2 number, since 2×120570413967936² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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, 10804763125 + ... + 10804774283.

Almost surely, 2^{120570413967936} is an apocalyptic number.

120570413967936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120570413967936 is the 10980456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120570413967936

120570413967936 is an abundant number, since it is smaller than the sum of its proper divisors (233689347914857).

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

120570413967936 is an frugal number, since it uses more digits than its factorization.

120570413967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22418 (or 11205 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 120570413967936 in words is "one hundred twenty trillion, five hundred seventy billion, four hundred thirteen million, nine hundred sixty-seven thousand, nine hundred thirty-six".