122412000 has 144 divisors (see below), whose sum is σ = 405031536. Its totient is φ = 32320000.

The previous prime is 122411983. The next prime is 122412029. The reversal of 122412000 is 214221.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1211950 + ... + 1212050.

It is an arithmetic number, because the mean of its divisors is an integer number (2812719).

Almost surely, 2^122412000 is an apocalyptic number.

122412000 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 122412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202515768).

122412000 is an abundant number, since it is smaller than the sum of its proper divisors (282619536).

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

122412000 is an equidigital number, since it uses as much as digits as its factorization.

122412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 122412000 is about 11063.9956616044. The cubic root of 122412000 is about 496.5252413771.

Adding to 122412000 its reverse (214221), we get a palindrome (122626221).

It can be divided in two parts, 12241 and 2000, that added together give a palindrome (14241).

The spelling of 122412000 in words is "one hundred twenty-two million, four hundred twelve thousand".