122521152 has 112 divisors (see below), whose sum is σ = 352300032. Its totient is φ = 37355520.

The previous prime is 122521141. The next prime is 122521153. The reversal of 122521152 is 251125221.

It is a super-2 number, since 2×122521152² = 30022865374814208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122521153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 476608 + ... + 476864.

It is an arithmetic number, because the mean of its divisors is an integer number (3145536).

Almost surely, 2^122521152 is an apocalyptic number.

122521152 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 122521152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176150016).

122521152 is an abundant number, since it is smaller than the sum of its proper divisors (229778880).

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

122521152 is a wasteful number, since it uses less digits than its factorization.

122521152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its digits is 400, while the sum is 21.

The square root of 122521152 is about 11068.9273193024. The cubic root of 122521152 is about 496.6727776275.

Adding to 122521152 its reverse (251125221), we get a palindrome (373646373).

The spelling of 122521152 in words is "one hundred twenty-two million, five hundred twenty-one thousand, one hundred fifty-two".