222121920 has 112 divisors (see below), whose sum is σ = 708221088. Its totient is φ = 58982400.

The previous prime is 222121919. The next prime is 222121957. The reversal of 222121920 is 29121222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384672 + ... + 385248.

Almost surely, 2^222121920 is an apocalyptic number.

222121920 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 222121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354110544).

222121920 is an abundant number, since it is smaller than the sum of its proper divisors (486099168).

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

222121920 is a wasteful number, since it uses less digits than its factorization.

222121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 222121920 is about 14903.7552314844. The cubic root of 222121920 is about 605.6157199463.

The spelling of 222121920 in words is "two hundred twenty-two million, one hundred twenty-one thousand, nine hundred twenty".