334332331200120 has 128 divisors (see below), whose sum is σ = 1095165178560000. Its totient is φ = 80977177658880.

The previous prime is 334332331200097. The next prime is 334332331200151. The reversal of 334332331200120 is 21002133233433.

It is a super-2 number, since 2×334332331200120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 112730020 + ... + 115657779.

It is an arithmetic number, because the mean of its divisors is an integer number (8555977957500).

Almost surely, 2^{334332331200120} is an apocalyptic number.

334332331200120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334332331200120 is an abundant number, since it is smaller than the sum of its proper divisors (760832847359880).

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

334332331200120 is a wasteful number, since it uses less digits than its factorization.

334332331200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228388933 (or 228388929 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 334332331200120 its reverse (21002133233433), we get a palindrome (355334464433553).

The spelling of 334332331200120 in words is "three hundred thirty-four trillion, three hundred thirty-two billion, three hundred thirty-one million, two hundred thousand, one hundred twenty".