222404155305312 has 192 divisors, whose sum is σ = 590667506795520. Its totient is φ = 73268869939200.

The previous prime is 222404155305307. The next prime is 222404155305341. The reversal of 222404155305312 is 213503551404222.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9914140048 + ... + 9914162480.

It is an arithmetic number, because the mean of its divisors is an integer number (3076393264560).

Almost surely, 2^{222404155305312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222404155305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295333753397760).

222404155305312 is an abundant number, since it is smaller than the sum of its proper divisors (368263351490208).

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

222404155305312 is a wasteful number, since it uses less digits than its factorization.

222404155305312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25757 (or 25749 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 222404155305312 in words is "two hundred twenty-two trillion, four hundred four billion, one hundred fifty-five million, three hundred five thousand, three hundred twelve".