12221223120 has 120 divisors (see below), whose sum is σ = 41715925992. Its totient is φ = 3205555200.

The previous prime is 12221223101. The next prime is 12221223137. The reversal of 12221223120 is 2132212221.

It can be written as a sum of positive squares in 4 ways, for example, as 35712576 + 12185510544 = 5976^2 + 110388^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 12221223093 and 12221223102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 95211 + ... + 183050.

Almost surely, 2^12221223120 is an apocalyptic number.

12221223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221223120 is an abundant number, since it is smaller than the sum of its proper divisors (29494702872).

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

12221223120 is a wasteful number, since it uses less digits than its factorization.

12221223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278341 (or 278332 counting only the distinct ones).

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

Adding to 12221223120 its reverse (2132212221), we get a palindrome (14353435341).

The spelling of 12221223120 in words is "twelve billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred twenty".