2229912115200 has 1440 divisors, whose sum is σ = 10298558350080. Its totient is φ = 463292006400.

The previous prime is 2229912115163. The next prime is 2229912115213. The reversal of 2229912115200 is 25112199222.

2229912115200 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 9 + 121 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 319330909 + ... + 319337891.

It is an arithmetic number, because the mean of its divisors is an integer number (7151776632).

Almost surely, 2^{2229912115200} is an apocalyptic number.

2229912115200 is a gapful number since it is divisible by the number (20) 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 2229912115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149279175040).

2229912115200 is an abundant number, since it is smaller than the sum of its proper divisors (8068646234880).

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

2229912115200 is a wasteful number, since it uses less digits than its factorization.

2229912115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 2229912115200 in words is "two trillion, two hundred twenty-nine billion, nine hundred twelve million, one hundred fifteen thousand, two hundred".