3332121141888 has 1280 divisors, whose sum is σ = 13052109312000. Its totient is φ = 818152980480.

The previous prime is 3332121141863. The next prime is 3332121141929. The reversal of 3332121141888 is 8881411212333.

3332121141888 is a `hidden beast` number, since 3 + 3 + 3 + 212 + 11 + 418 + 8 + 8 = 666.

It is a super-2 number, since 2×3332121141888² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1634192773 + ... + 1634194811.

It is an arithmetic number, because the mean of its divisors is an integer number (10196960400).

Almost surely, 2^{3332121141888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332121141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526054656000).

3332121141888 is an abundant number, since it is smaller than the sum of its proper divisors (9719988170112).

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

3332121141888 is a wasteful number, since it uses less digits than its factorization.

3332121141888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2174 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 3332121141888 in words is "three trillion, three hundred thirty-two billion, one hundred twenty-one million, one hundred forty-one thousand, eight hundred eighty-eight".