222120096 has 96 divisors (see below), whose sum is σ = 673541568. Its totient is φ = 63344640.

The previous prime is 222120071. The next prime is 222120097. The reversal of 222120096 is 690021222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (222120097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11766 + ... + 24138.

It is an arithmetic number, because the mean of its divisors is an integer number (7016058).

Almost surely, 2^222120096 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 222120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336770784).

222120096 is an abundant number, since it is smaller than the sum of its proper divisors (451421472).

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

222120096 is a wasteful number, since it uses less digits than its factorization.

222120096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12414 (or 12406 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 222120096 is about 14903.6940387274. The cubic root of 222120096 is about 605.6140622289.

The spelling of 222120096 in words is "two hundred twenty-two million, one hundred twenty thousand, ninety-six".