120749414337 has 16 divisors (see below), whose sum is σ = 181920024000. Its totient is φ = 79135208352.

The previous prime is 120749414329. The next prime is 120749414353. The reversal of 120749414337 is 733414947021.

120749414337 is a `hidden beast` number, since 1 + 207 + 4 + 9 + 4 + 1 + 433 + 7 = 666.

It is not a de Polignac number, because 120749414337 - 2³ = 120749414329 is a prime.

It is a super-3 number, since 3×120749414337³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 120749414292 and 120749414301.

It is not an unprimeable number, because it can be changed into a prime (120749414237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37898412 + ... + 37901597.

It is an arithmetic number, because the mean of its divisors is an integer number (11370001500).

Almost surely, 2^120749414337 is an apocalyptic number.

It is an amenable number.

120749414337 is a deficient number, since it is larger than the sum of its proper divisors (61170609663).

120749414337 is an equidigital number, since it uses as much as digits as its factorization.

120749414337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75800077 (or 75800071 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 120749414337 in words is "one hundred twenty billion, seven hundred forty-nine million, four hundred fourteen thousand, three hundred thirty-seven".