122242032 has 120 divisors (see below), whose sum is σ = 375950640. Its totient is φ = 36771840.

The previous prime is 122242031. The next prime is 122242051. The reversal of 122242032 is 230242221.

It is a super-2 number, since 2×122242032² = 29886228774978048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122241996 and 122242014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122242031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 362568 + ... + 362904.

It is an arithmetic number, because the mean of its divisors is an integer number (3132922).

Almost surely, 2^122242032 is an apocalyptic number.

122242032 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 122242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187975320).

122242032 is an abundant number, since it is smaller than the sum of its proper divisors (253708608).

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

122242032 is a wasteful number, since it uses less digits than its factorization.

122242032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122242032 is about 11056.3118624612. The cubic root of 122242032 is about 496.2953279366.

Adding to 122242032 its reverse (230242221), we get a palindrome (352484253).

The spelling of 122242032 in words is "one hundred twenty-two million, two hundred forty-two thousand, thirty-two".