3322245002112 has 192 divisors, whose sum is σ = 9590168764800. Its totient is φ = 1103937389568.

The previous prime is 3322245002059. The next prime is 3322245002143. The reversal of 3322245002112 is 2112005422233.

3322245002112 is a `hidden beast` number, since 3 + 3 + 22 + 24 + 500 + 2 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3322245002112² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787446339 + ... + 787450557.

It is an arithmetic number, because the mean of its divisors is an integer number (49948795650).

Almost surely, 2^{3322245002112} is an apocalyptic number.

3322245002112 is a gapful number since it is divisible by the number (32) 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 3322245002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795084382400).

3322245002112 is an abundant number, since it is smaller than the sum of its proper divisors (6267923762688).

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

3322245002112 is a wasteful number, since it uses less digits than its factorization.

3322245002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 3322245002112 in words is "three trillion, three hundred twenty-two billion, two hundred forty-five million, two thousand, one hundred twelve".