120067362816 has 208 divisors, whose sum is σ = 349925810688. Its totient is φ = 36451123200.

The previous prime is 120067362791. The next prime is 120067362869. The reversal of 120067362816 is 618263760021.

It is a super-2 number, since 2×120067362816² (a number of 23 digits) contains 22 as substring.

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, 6466506 + ... + 6485046.

Almost surely, 2^120067362816 is an apocalyptic number.

120067362816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120067362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174962905344).

120067362816 is an abundant number, since it is smaller than the sum of its proper divisors (229858447872).

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

120067362816 is a wasteful number, since it uses less digits than its factorization.

120067362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18616 (or 18594 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 120067362816 in words is "one hundred twenty billion, sixty-seven million, three hundred sixty-two thousand, eight hundred sixteen".