2212233013200 has 240 divisors, whose sum is σ = 8236150709760. Its totient is φ = 497082754560.

The previous prime is 2212233013129. The next prime is 2212233013217. The reversal of 2212233013200 is 23103322122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1736274 + ... + 2727473.

It is an arithmetic number, because the mean of its divisors is an integer number (34317294624).

Almost surely, 2^{2212233013200} is an apocalyptic number.

2212233013200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212233013200 is an abundant number, since it is smaller than the sum of its proper divisors (6023917696560).

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

2212233013200 is a wasteful number, since it uses less digits than its factorization.

2212233013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463834 (or 4463823 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2212233013200 its reverse (23103322122), we get a palindrome (2235336335322).

The spelling of 2212233013200 in words is "two trillion, two hundred twelve billion, two hundred thirty-three million, thirteen thousand, two hundred".