222145953120 has 1152 divisors, whose sum is σ = 985709088000. Its totient is φ = 45216202752.

The previous prime is 222145953083. The next prime is 222145953163. The reversal of 222145953120 is 21359541222.

222145953120 is a `hidden beast` number, since 2 + 2 + 2 + 14 + 595 + 31 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186207244 + ... + 186208436.

It is an arithmetic number, because the mean of its divisors is an integer number (855650250).

Almost surely, 2^222145953120 is an apocalyptic number.

222145953120 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 222145953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492854544000).

222145953120 is an abundant number, since it is smaller than the sum of its proper divisors (763563134880).

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

222145953120 is a wasteful number, since it uses less digits than its factorization.

222145953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 222145953120 in words is "two hundred twenty-two billion, one hundred forty-five million, nine hundred fifty-three thousand, one hundred twenty".