222015134403120 has 320 divisors, whose sum is σ = 696268290977280. Its totient is φ = 58516673470464.

The previous prime is 222015134403119. The next prime is 222015134403137. The reversal of 222015134403120 is 21304431510222.

It is a happy number.

222015134403120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44376398539 + ... + 44376403541.

It is an arithmetic number, because the mean of its divisors is an integer number (2175838409304).

Almost surely, 2^{222015134403120} is an apocalyptic number.

222015134403120 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 222015134403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348134145488640).

222015134403120 is an abundant number, since it is smaller than the sum of its proper divisors (474253156574160).

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

222015134403120 is a wasteful number, since it uses less digits than its factorization.

222015134403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 8726 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 222015134403120 its reverse (21304431510222), we get a palindrome (243319565913342).

The spelling of 222015134403120 in words is "two hundred twenty-two trillion, fifteen billion, one hundred thirty-four million, four hundred three thousand, one hundred twenty".