1222431120 has 240 divisors, whose sum is σ = 4353173760. Its totient is φ = 306561024.

The previous prime is 1222431043. The next prime is 1222431127. The reversal of 1222431120 is 211342221.

It is a happy number.

1222431120 is a `hidden beast` number, since 1 + 222 + 431 + 12 + 0 = 666.

1222431120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1222431093 and 1222431102.

It is not an unprimeable number, because it can be changed into a prime (1222431127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2640009 + ... + 2640471.

It is an arithmetic number, because the mean of its divisors is an integer number (18138224).

Almost surely, 2^1222431120 is an apocalyptic number.

1222431120 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 1222431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176586880).

1222431120 is an abundant number, since it is smaller than the sum of its proper divisors (3130742640).

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

1222431120 is a wasteful number, since it uses less digits than its factorization.

1222431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1222431120 is about 34963.2824545980. The cubic root of 1222431120 is about 1069.2390198735.

Adding to 1222431120 its reverse (211342221), we get a palindrome (1433773341).

The spelling of 1222431120 in words is "one billion, two hundred twenty-two million, four hundred thirty-one thousand, one hundred twenty".