3312012050400 has 576 divisors, whose sum is σ = 11541077323776. Its totient is φ = 823468032000.

The previous prime is 3312012050393. The next prime is 3312012050507. The reversal of 3312012050400 is 40502102133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283532560 + ... + 283544240.

It is an arithmetic number, because the mean of its divisors is an integer number (20036592576).

Almost surely, 2^{3312012050400} is an apocalyptic number.

3312012050400 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 3312012050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770538661888).

3312012050400 is an abundant number, since it is smaller than the sum of its proper divisors (8229065273376).

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

3312012050400 is a wasteful number, since it uses less digits than its factorization.

3312012050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11875 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 3312012050400 its reverse (40502102133), we get a palindrome (3352514152533).

The spelling of 3312012050400 in words is "three trillion, three hundred twelve billion, twelve million, fifty thousand, four hundred".