3321120000 has 720 divisors, whose sum is σ = 13102955712. Its totient is φ = 737280000.

The previous prime is 3321119981. The next prime is 3321120013. The reversal of 3321120000 is 211233.

It is a happy number.

It is a super-2 number, since 2×3321120000² = 22059676108800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89759982 + ... + 89760018.

Almost surely, 2^3321120000 is an apocalyptic number.

3321120000 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 3321120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551477856).

3321120000 is an abundant number, since it is smaller than the sum of its proper divisors (9781835712).

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

3321120000 is a wasteful number, since it uses less digits than its factorization.

3321120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3321120000 is about 57629.1592859032. The cubic root of 3321120000 is about 1491.9749197364.

Adding to 3321120000 its reverse (211233), we get a palindrome (3321331233).

It can be divided in two parts, 3321 and 120000, that added together give a palindrome (123321).

The spelling of 3321120000 in words is "three billion, three hundred twenty-one million, one hundred twenty thousand".