122342400 has 330 divisors, whose sum is σ = 460697820. Its totient is φ = 32071680.

The previous prime is 122342371. The next prime is 122342413. The reversal of 122342400 is 4243221.

122342400 is a `hidden beast` number, since 1 + 223 + 42 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2073571 + ... + 2073629.

It is an arithmetic number, because the mean of its divisors is an integer number (1396054).

Almost surely, 2^122342400 is an apocalyptic number.

122342400 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 122342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230348910).

122342400 is an abundant number, since it is smaller than the sum of its proper divisors (338355420).

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

122342400 is an equidigital number, since it uses as much as digits as its factorization.

122342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

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

The square root of 122342400 is about 11060.8498769308. The cubic root of 122342400 is about 496.4311201350.

Adding to 122342400 its reverse (4243221), we get a palindrome (126585621).

The spelling of 122342400 in words is "one hundred twenty-two million, three hundred forty-two thousand, four hundred".