3332312122400 has 144 divisors (see below), whose sum is σ = 8158805803008. Its totient is φ = 1329030528000.

The previous prime is 3332312122369. The next prime is 3332312122427. The reversal of 3332312122400 is 42212132333.

It is a happy number.

It is a super-2 number, since 2×3332312122400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3332312122400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542453729 + ... + 542459871.

It is an arithmetic number, because the mean of its divisors is an integer number (56658373632).

Almost surely, 2^{3332312122400} 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 3332312122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079402901504).

3332312122400 is an abundant number, since it is smaller than the sum of its proper divisors (4826493680608).

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

3332312122400 is a wasteful number, since it uses less digits than its factorization.

3332312122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8035 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 3332312122400 its reverse (42212132333), we get a palindrome (3374524254733).

The spelling of 3332312122400 in words is "three trillion, three hundred thirty-two billion, three hundred twelve million, one hundred twenty-two thousand, four hundred".