120533968080 has 400 divisors, whose sum is σ = 430838299584. Its totient is φ = 31341634560.

The previous prime is 120533968069. The next prime is 120533968099. The reversal of 120533968080 is 80869335021.

It is a happy number.

120533968080 is a `hidden beast` number, since 1 + 20 + 533 + 96 + 8 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×120533968080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64559307 + ... + 64561173.

Almost surely, 2^120533968080 is an apocalyptic number.

120533968080 is a gapful number since it is divisible by the number (10) 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 120533968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215419149792).

120533968080 is an abundant number, since it is smaller than the sum of its proper divisors (310304331504).

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

120533968080 is an frugal number, since it uses more digits than its factorization.

120533968080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 120533968080 in words is "one hundred twenty billion, five hundred thirty-three million, nine hundred sixty-eight thousand, eighty".