2212939123200 has 1080 divisors, whose sum is σ = 9061661076468. Its totient is φ = 512580648960.

The previous prime is 2212939123189. The next prime is 2212939123229. The reversal of 2212939123200 is 23219392122.

2212939123200 is a `hidden beast` number, since 2 + 21 + 29 + 391 + 23 + 200 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 312114403584 + 1900824719616 = 558672^2 + 1378704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 432803844 + ... + 432808956.

Almost surely, 2^{2212939123200} is an apocalyptic number.

2212939123200 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 2212939123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530830538234).

2212939123200 is an abundant number, since it is smaller than the sum of its proper divisors (6848721953268).

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

2212939123200 is a wasteful number, since it uses less digits than its factorization.

2212939123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 2212939123200 in words is "two trillion, two hundred twelve billion, nine hundred thirty-nine million, one hundred twenty-three thousand, two hundred".