122153120 has 24 divisors (see below), whose sum is σ = 288587124. Its totient is φ = 48861184.

The previous prime is 122153107. The next prime is 122153131. The reversal of 122153120 is 21351221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 121969936 + 183184 = 11044^2 + 428^2 .

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 3 ways as a sum of consecutive naturals, for example, 381569 + ... + 381888.

Almost surely, 2^122153120 is an apocalyptic number.

122153120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122153120 is an abundant number, since it is smaller than the sum of its proper divisors (166434004).

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

122153120 is an equidigital number, since it uses as much as digits as its factorization.

122153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763472 (or 763464 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 122153120 is about 11052.2902603940. The cubic root of 122153120 is about 496.1749729540.

The spelling of 122153120 in words is "one hundred twenty-two million, one hundred fifty-three thousand, one hundred twenty".