2212103764512 has 384 divisors, whose sum is σ = 6961489920000. Its totient is φ = 681395742720.

The previous prime is 2212103764459. The next prime is 2212103764513. The reversal of 2212103764512 is 2154673012122.

2212103764512 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 1 + 0 + 3 + 7 + 645 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2212103764513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 405962364 + ... + 405967812.

It is an arithmetic number, because the mean of its divisors is an integer number (18128880000).

Almost surely, 2^{2212103764512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212103764512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480744960000).

2212103764512 is an abundant number, since it is smaller than the sum of its proper divisors (4749386155488).

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

2212103764512 is a wasteful number, since it uses less digits than its factorization.

2212103764512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 2212103764512 its reverse (2154673012122), we get a palindrome (4366776776634).

The spelling of 2212103764512 in words is "two trillion, two hundred twelve billion, one hundred three million, seven hundred sixty-four thousand, five hundred twelve".