1222305120 has 384 divisors, whose sum is σ = 4491002880. Its totient is φ = 310210560.

The previous prime is 1222305109. The next prime is 1222305157. The reversal of 1222305120 is 215032221.

1222305120 is a `hidden beast` number, since 122 + 2 + 30 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1222305093 and 1222305102.

It is a congruent number.

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, 11866989 + ... + 11867091.

It is an arithmetic number, because the mean of its divisors is an integer number (11695320).

Almost surely, 2^1222305120 is an apocalyptic number.

1222305120 is a gapful number since it is divisible by the number (10) 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 1222305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245501440).

1222305120 is an abundant number, since it is smaller than the sum of its proper divisors (3268697760).

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

1222305120 is a wasteful number, since it uses less digits than its factorization.

1222305120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1222305120 is about 34961.4805178499. The cubic root of 1222305120 is about 1069.2022819492.

Adding to 1222305120 its reverse (215032221), we get a palindrome (1437337341).

The spelling of 1222305120 in words is "one billion, two hundred twenty-two million, three hundred five thousand, one hundred twenty".