2217256153112 has 1024 divisors, whose sum is σ = 6443529523200. Its totient is φ = 686696693760.

The previous prime is 2217256153043. The next prime is 2217256153213. The reversal of 2217256153112 is 2113516527122.

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 255 ways as a sum of consecutive naturals, for example, 6281178728 + ... + 6281179080.

It is an arithmetic number, because the mean of its divisors is an integer number (6292509300).

Almost surely, 2^{2217256153112} is an apocalyptic number.

2217256153112 is a gapful number since it is divisible by the number (22) 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 2217256153112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221764761600).

2217256153112 is an abundant number, since it is smaller than the sum of its proper divisors (4226273370088).

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

2217256153112 is a wasteful number, since it uses less digits than its factorization.

2217256153112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its digits is 50400, while the sum is 38.

The spelling of 2217256153112 in words is "two trillion, two hundred seventeen billion, two hundred fifty-six million, one hundred fifty-three thousand, one hundred twelve".