3333002112000 has 792 divisors, whose sum is σ = 13202413669536. Its totient is φ = 807966720000.

The previous prime is 3333002111983. The next prime is 3333002112103. The reversal of 3333002112000 is 2112003333.

3333002112000 is a `hidden beast` number, since 333 + 300 + 2 + 11 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×3333002112000² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139380045 + ... + 139403955.

Almost surely, 2^{3333002112000} is an apocalyptic number.

3333002112000 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 3333002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601206834768).

3333002112000 is an abundant number, since it is smaller than the sum of its proper divisors (9869411557536).

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

3333002112000 is a wasteful number, since it uses less digits than its factorization.

3333002112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23974 (or 23932 counting only the distinct ones).

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

Adding to 3333002112000 its reverse (2112003333), we get a palindrome (3335114115333).

The spelling of 3333002112000 in words is "three trillion, three hundred thirty-three billion, two million, one hundred twelve thousand".