122167032 has 128 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 34191360.

The previous prime is 122167021. The next prime is 122167039. The reversal of 122167032 is 230761221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122166993 and 122167011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122167039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164053 + ... + 164795.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^122167032 is an apocalyptic number.

122167032 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 122167032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

122167032 is an abundant number, since it is smaller than the sum of its proper divisors (237809928).

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

122167032 is a wasteful number, since it uses less digits than its factorization.

122167032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 122167032 is about 11052.9196142920. The cubic root of 122167032 is about 496.1938086693.

The spelling of 122167032 in words is "one hundred twenty-two million, one hundred sixty-seven thousand, thirty-two".