1221122120 has 32 divisors (see below), whose sum is σ = 2799369720. Its totient is φ = 479232000.

The previous prime is 1221122099. The next prime is 1221122159. The reversal of 1221122120 is 212211221.

It can be written as a sum of positive squares in 4 ways, for example, as 1010349796 + 210772324 = 31786^2 + 14518^2 .

It is a super-2 number, since 2×1221122120² = 2982278463906588800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221122095 and 1221122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285881 + ... + 290120.

Almost surely, 2^1221122120 is an apocalyptic number.

1221122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221122120 is an abundant number, since it is smaller than the sum of its proper divisors (1578247600).

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

1221122120 is a wasteful number, since it uses less digits than its factorization.

1221122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576065 (or 576061 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1221122120 is about 34944.5578023245. The cubic root of 1221122120 is about 1068.8572304661.

Adding to 1221122120 its reverse (212211221), we get a palindrome (1433333341).

The spelling of 1221122120 in words is "one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".