222132333100320 has 480 divisors, whose sum is σ = 787267893646080. Its totient is φ = 58984457748480.

The previous prime is 222132333100283. The next prime is 222132333100411. The reversal of 222132333100320 is 23001333231222.

222132333100320 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 3 + 2 + 3 + 331 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3289304955 + ... + 3289372485.

It is an arithmetic number, because the mean of its divisors is an integer number (1640141445096).

Almost surely, 2^{222132333100320} is an apocalyptic number.

222132333100320 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 222132333100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393633946823040).

222132333100320 is an abundant number, since it is smaller than the sum of its proper divisors (565135560545760).

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

222132333100320 is a wasteful number, since it uses less digits than its factorization.

222132333100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68630 (or 68613 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 222132333100320 its reverse (23001333231222), we get a palindrome (245133666331542).

The spelling of 222132333100320 in words is "two hundred twenty-two trillion, one hundred thirty-two billion, three hundred thirty-three million, one hundred thousand, three hundred twenty".