122953152 has 112 divisors (see below), whose sum is σ = 379577600. Its totient is φ = 35110656.

The previous prime is 122953141. The next prime is 122953157. The reversal of 122953152 is 251359221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122953157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64923 + ... + 66789.

Almost surely, 2^122953152 is an apocalyptic number.

122953152 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 122953152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189788800).

122953152 is an abundant number, since it is smaller than the sum of its proper divisors (256624448).

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

122953152 is an equidigital number, since it uses as much as digits as its factorization.

122953152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1879 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 122953152 is about 11088.4242343085. The cubic root of 122953152 is about 497.2558360144.

The spelling of 122953152 in words is "one hundred twenty-two million, nine hundred fifty-three thousand, one hundred fifty-two".