222135721920 has 1680 divisors, whose sum is σ = 982570897440. Its totient is φ = 47405481984.

The previous prime is 222135721859. The next prime is 222135721921. The reversal of 222135721920 is 29127531222.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222135721921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1362795759 + ... + 1362795921.

Almost surely, 2^222135721920 is an apocalyptic number.

222135721920 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 222135721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491285448720).

222135721920 is an abundant number, since it is smaller than the sum of its proper divisors (760435175520).

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

222135721920 is a wasteful number, since it uses less digits than its factorization.

222135721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 222135721920 in words is "two hundred twenty-two billion, one hundred thirty-five million, seven hundred twenty-one thousand, nine hundred twenty".