120916634364100 has 27 divisors (see below), whose sum is σ = 262389335188071. Its totient is φ = 48366609760800.

The previous prime is 120916634363999. The next prime is 120916634364103. The reversal of 120916634364100 is 1463436619021.

The square root of 120916634364100 is 10996210.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1468522254276 + 119448112109824 = 1211826^2 + 10929232^2 .

It is a super-2 number, since 2×120916634364100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120916634364103) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 109412290 + ... + 110511910.

Almost surely, 2^{120916634364100} is an apocalyptic number.

120916634364100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120916634364100 is the 10996210-th square number.

It is an amenable number.

120916634364100 is an abundant number, since it is smaller than the sum of its proper divisors (141472700823971).

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

120916634364100 is an frugal number, since it uses more digits than its factorization.

120916634364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199256 (or 1099628 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 120916634364100 in words is "one hundred twenty trillion, nine hundred sixteen billion, six hundred thirty-four million, three hundred sixty-four thousand, one hundred".