222042511225200 has 240 divisors, whose sum is σ = 722619890366976. Its totient is φ = 58274031744000.

The previous prime is 222042511225151. The next prime is 222042511225279. The reversal of 222042511225200 is 2522115240222.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14755269 + ... + 25725531.

Almost surely, 2^{222042511225200} is an apocalyptic number.

222042511225200 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 222042511225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361309945183488).

222042511225200 is an abundant number, since it is smaller than the sum of its proper divisors (500577379141776).

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

222042511225200 is a wasteful number, since it uses less digits than its factorization.

222042511225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10970552 (or 10970541 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 222042511225200 its reverse (2522115240222), we get a palindrome (224564626465422).

The spelling of 222042511225200 in words is "two hundred twenty-two trillion, forty-two billion, five hundred eleven million, two hundred twenty-five thousand, two hundred".