222217401376320 has 336 divisors, whose sum is σ = 821284924831488. Its totient is φ = 50758236856320.

The previous prime is 222217401376307. The next prime is 222217401376337. The reversal of 222217401376320 is 23673104712222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68071369 + ... + 71261111.

Almost surely, 2^{222217401376320} is an apocalyptic number.

222217401376320 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 222217401376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410642462415744).

222217401376320 is an abundant number, since it is smaller than the sum of its proper divisors (599067523455168).

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

222217401376320 is a wasteful number, since it uses less digits than its factorization.

222217401376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191258 (or 3191241 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 222217401376320 in words is "two hundred twenty-two trillion, two hundred seventeen billion, four hundred one million, three hundred seventy-six thousand, three hundred twenty".