122112000 has 288 divisors, whose sum is σ = 448451640. Its totient is φ = 31948800.

The previous prime is 122111971. The next prime is 122112017. The reversal of 122112000 is 211221.

It can be written as a sum of positive squares in 4 ways, for example, as 49112064 + 72999936 = 7008^2 + 8544^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×122112000² = 29822681088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303974 + ... + 2304026.

Almost surely, 2^122112000 is an apocalyptic number.

122112000 is a gapful number since it is divisible by the number (10) 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 122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224225820).

122112000 is an abundant number, since it is smaller than the sum of its proper divisors (326339640).

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

122112000 is an equidigital number, since it uses as much as digits as its factorization.

122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122112000 is about 11050.4298558925. The cubic root of 122112000 is about 496.1192914599.

Adding to 122112000 its reverse (211221), we get a palindrome (122323221).

The spelling of 122112000 in words is "one hundred twenty-two million, one hundred twelve thousand".