122033113330320 has 160 divisors (see below), whose sum is σ = 420708596140800. Its totient is φ = 32513339022336.

The previous prime is 122033113330267. The next prime is 122033113330351. The reversal of 122033113330320 is 23033311330221.

122033113330320 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 3 + 3 + 1 + 1 + 3 + 330 + 320 = 666.

It is a super-3 number, since 3×122033113330320³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22582092 + ... + 27459371.

It is an arithmetic number, because the mean of its divisors is an integer number (2629428725880).

Almost surely, 2^{122033113330320} is an apocalyptic number.

122033113330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122033113330320 is an abundant number, since it is smaller than the sum of its proper divisors (298675482810480).

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

122033113330320 is a wasteful number, since it uses less digits than its factorization.

122033113330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50042614 (or 50042602 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 122033113330320 its reverse (23033311330221), we get a palindrome (145066424660541).

The spelling of 122033113330320 in words is "one hundred twenty-two trillion, thirty-three billion, one hundred thirteen million, three hundred thirty thousand, three hundred twenty".