120777112 has 64 divisors (see below), whose sum is σ = 251164800. Its totient is φ = 54190080.

The previous prime is 120777101. The next prime is 120777121. The reversal of 120777112 is 211777021.

It is a super-3 number, since 3×120777112³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445537 + ... + 445807.

It is an arithmetic number, because the mean of its divisors is an integer number (3924450).

Almost surely, 2^120777112 is an apocalyptic number.

It is an amenable number.

120777112 is an abundant number, since it is smaller than the sum of its proper divisors (130387688).

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

120777112 is a wasteful number, since it uses less digits than its factorization.

120777112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 28.

The square root of 120777112 is about 10989.8640573940. The cubic root of 120777112 is about 494.3048597139.

Subtracting 120777112 from its reverse (211777021), we obtain a palindrome (90999909).

The spelling of 120777112 in words is "one hundred twenty million, seven hundred seventy-seven thousand, one hundred twelve".