3331122000000 has 448 divisors, whose sum is σ = 11195153575200. Its totient is φ = 877465600000.

The previous prime is 3331121999983. The next prime is 3331122000071. The reversal of 3331122000000 is 2211333.

It is a super-2 number, since 2×3331122000000² (a number of 26 digits) contains 22 as substring.

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

It is a zygodrome in base 10.

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 55 ways as a sum of consecutive naturals, for example, 497996656 + ... + 498003344.

Almost surely, 2^{3331122000000} is an apocalyptic number.

3331122000000 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 3331122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597576787600).

3331122000000 is an abundant number, since it is smaller than the sum of its proper divisors (7864031575200).

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

3331122000000 is an frugal number, since it uses more digits than its factorization.

3331122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3331122000000 its reverse (2211333), we get a palindrome (3331124211333).

The spelling of 3331122000000 in words is "three trillion, three hundred thirty-one billion, one hundred twenty-two million", and thus it is an aban number.