120227734368 has 144 divisors (see below), whose sum is σ = 398714752800. Its totient is φ = 34350753024.

The previous prime is 120227734337. The next prime is 120227734381. The reversal of 120227734368 is 863437722021.

120227734368 is a `hidden beast` number, since 1 + 20 + 227 + 7 + 343 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×120227734368² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509755 + ... + 707322.

It is an arithmetic number, because the mean of its divisors is an integer number (2768852450).

Almost surely, 2^120227734368 is an apocalyptic number.

120227734368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120227734368 is an abundant number, since it is smaller than the sum of its proper divisors (278487018432).

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

120227734368 is a wasteful number, since it uses less digits than its factorization.

120227734368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217114 (or 1217089 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 120227734368 in words is "one hundred twenty billion, two hundred twenty-seven million, seven hundred thirty-four thousand, three hundred sixty-eight".