122340000 has 120 divisors (see below), whose sum is σ = 401496480. Its totient is φ = 32608000.

The previous prime is 122339999. The next prime is 122340011. The reversal of 122340000 is 43221.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 58981 + ... + 61019.

It is an arithmetic number, because the mean of its divisors is an integer number (3345804).

Almost surely, 2^122340000 is an apocalyptic number.

122340000 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 122340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200748240).

122340000 is an abundant number, since it is smaller than the sum of its proper divisors (279156480).

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

122340000 is an equidigital number, since it uses as much as digits as its factorization.

122340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 122340000 is about 11060.7413856396. The cubic root of 122340000 is about 496.4278739383.

Adding to 122340000 its reverse (43221), we get a palindrome (122383221).

The spelling of 122340000 in words is "one hundred twenty-two million, three hundred forty thousand".