3302102112000 has 288 divisors, whose sum is σ = 11545198129920. Its totient is φ = 834214809600.

The previous prime is 3302102111993. The next prime is 3302102112031. The reversal of 3302102112000 is 2112012033.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918819 + ... + 2729181.

Almost surely, 2^{3302102112000} is an apocalyptic number.

3302102112000 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 3302102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772599064960).

3302102112000 is an abundant number, since it is smaller than the sum of its proper divisors (8243096017920).

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

3302102112000 is a wasteful number, since it uses less digits than its factorization.

3302102112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810416 (or 1810392 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 3302102112000 its reverse (2112012033), we get a palindrome (3304214124033).

The spelling of 3302102112000 in words is "three trillion, three hundred two billion, one hundred two million, one hundred twelve thousand".