120993312092416 has 27 divisors (see below), whose sum is σ = 241514345362773. Its totient is φ = 60496568048640.

The previous prime is 120993312092413. The next prime is 120993312092491. The reversal of 120993312092416 is 614290213399021.

The square root of 120993312092416 is 10999696.

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

It can be written as a sum of positive squares in only one way, i.e., 1306211266816 + 119687100825600 = 1142896^2 + 10940160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120993312092413) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 175651396 + ... + 176338876.

Almost surely, 2^{120993312092416} is an apocalyptic number.

120993312092416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120993312092416 is the 10999696-th square number.

It is an amenable number.

120993312092416 is a deficient number, since it is larger than the sum of its proper divisors (120521033270357).

120993312092416 is an frugal number, since it uses more digits than its factorization.

120993312092416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374978 (or 687483 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The spelling of 120993312092416 in words is "one hundred twenty trillion, nine hundred ninety-three billion, three hundred twelve million, ninety-two thousand, four hundred sixteen".