122275152 has 120 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 38016000.

The previous prime is 122275151. The next prime is 122275157. The reversal of 122275152 is 251572221.

122275152 is a `hidden beast` number, since 122 + 27 + 515 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122275151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487027 + ... + 487277.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^122275152 is an apocalyptic number.

122275152 is a gapful number since it is divisible by the number (12) 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 122275152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

122275152 is an abundant number, since it is smaller than the sum of its proper divisors (243326448).

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

122275152 is a wasteful number, since it uses less digits than its factorization.

122275152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 472 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 122275152 is about 11057.8095480072. The cubic root of 122275152 is about 496.3401456280.

The spelling of 122275152 in words is "one hundred twenty-two million, two hundred seventy-five thousand, one hundred fifty-two".