222642906333120 has 672 divisors, whose sum is σ = 942884694880128. Its totient is φ = 46957111934976.

The previous prime is 222642906333077. The next prime is 222642906333167. The reversal of 222642906333120 is 21333609246222.

222642906333120 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 4 + 2 + 9 + 0 + 633 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685701052 + ... + 686025668.

It is an arithmetic number, because the mean of its divisors is an integer number (1403102224524).

Almost surely, 2^{222642906333120} is an apocalyptic number.

222642906333120 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 222642906333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471442347440064).

222642906333120 is an abundant number, since it is smaller than the sum of its proper divisors (720241788547008).

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

222642906333120 is a wasteful number, since it uses less digits than its factorization.

222642906333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327277 (or 327264 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 222642906333120 in words is "two hundred twenty-two trillion, six hundred forty-two billion, nine hundred six million, three hundred thirty-three thousand, one hundred twenty".