122233120 has 24 divisors (see below), whose sum is σ = 288776124. Its totient is φ = 48893184.

The previous prime is 122233091. The next prime is 122233147. The reversal of 122233120 is 21332221.

It can be written as a sum of positive squares in 2 ways, for example, as 110754576 + 11478544 = 10524^2 + 3388^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122233094 and 122233103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 381819 + ... + 382138.

Almost surely, 2^122233120 is an apocalyptic number.

122233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122233120 is an abundant number, since it is smaller than the sum of its proper divisors (166543004).

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

122233120 is an equidigital number, since it uses as much as digits as its factorization.

122233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763972 (or 763964 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 122233120 is about 11055.9088274099. The cubic root of 122233120 is about 496.2832669148.

Adding to 122233120 its reverse (21332221), we get a palindrome (143565341).

The spelling of 122233120 in words is "one hundred twenty-two million, two hundred thirty-three thousand, one hundred twenty".