3333120000000 has 1088 divisors, whose sum is σ = 13107066445824. Its totient is φ = 737280000000.

The previous prime is 3333119999983. The next prime is 3333120000043. The reversal of 3333120000000 is 213333.

It is a super-2 number, since 2×3333120000000² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107519999985 + ... + 107520000015.

Almost surely, 2^{3333120000000} is an apocalyptic number.

3333120000000 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 3333120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553533222912).

3333120000000 is an abundant number, since it is smaller than the sum of its proper divisors (9773946445824).

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

3333120000000 is an frugal number, since it uses more digits than its factorization.

3333120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 3333120000000 its reverse (213333), we get a palindrome (3333120213333).

The spelling of 3333120000000 in words is "three trillion, three hundred thirty-three billion, one hundred twenty million", and thus it is an aban number.