120133206816 has 192 divisors, whose sum is σ = 376739758080. Its totient is φ = 32795642880.

The previous prime is 120133206803. The next prime is 120133206881. The reversal of 120133206816 is 618602331021.

120133206816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1609230 + ... + 1682226.

It is an arithmetic number, because the mean of its divisors is an integer number (1962186240).

Almost surely, 2^120133206816 is an apocalyptic number.

120133206816 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 120133206816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188369879040).

120133206816 is an abundant number, since it is smaller than the sum of its proper divisors (256606551264).

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

120133206816 is a wasteful number, since it uses less digits than its factorization.

120133206816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73127 (or 73119 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 120133206816 its reverse (618602331021), we get a palindrome (738735537837).

The spelling of 120133206816 in words is "one hundred twenty billion, one hundred thirty-three million, two hundred six thousand, eight hundred sixteen".