3330000123120 has 240 divisors, whose sum is σ = 12207810337632. Its totient is φ = 806749962240.

The previous prime is 3330000123059. The next prime is 3330000123143. The reversal of 3330000123120 is 213210000333.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3330000123120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3330000123093 and 3330000123102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12164392 + ... + 12435128.

Almost surely, 2^{3330000123120} is an apocalyptic number.

3330000123120 is a gapful number since it is divisible by the number (30) 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 3330000123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6103905168816).

3330000123120 is an abundant number, since it is smaller than the sum of its proper divisors (8877810214512).

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

3330000123120 is a wasteful number, since it uses less digits than its factorization.

3330000123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272320 (or 272311 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3330000123120 its reverse (213210000333), we get a palindrome (3543210123453).

The spelling of 3330000123120 in words is "three trillion, three hundred thirty billion, one hundred twenty-three thousand, one hundred twenty".