330012121200 has 240 divisors, whose sum is σ = 1066390886496. Its totient is φ = 87234969600.

The previous prime is 330012121147. The next prime is 330012121237. The reversal of 330012121200 is 2121210033.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 330012121200.

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, 189552330 + ... + 189554070.

Almost surely, 2^330012121200 is an apocalyptic number.

330012121200 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 330012121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533195443248).

330012121200 is an abundant number, since it is smaller than the sum of its proper divisors (736378765296).

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

330012121200 is a wasteful number, since it uses less digits than its factorization.

330012121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 330012121200 its reverse (2121210033), we get a palindrome (332133331233).

The spelling of 330012121200 in words is "three hundred thirty billion, twelve million, one hundred twenty-one thousand, two hundred".