122420400 has 180 divisors, whose sum is σ = 417758232. Its totient is φ = 30638080.

The previous prime is 122420393. The next prime is 122420413. The reversal of 122420400 is 4024221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122420400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346624 + ... + 346976.

Almost surely, 2^122420400 is an apocalyptic number.

122420400 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 122420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208879116).

122420400 is an abundant number, since it is smaller than the sum of its proper divisors (295337832).

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

122420400 is a wasteful number, since it uses less digits than its factorization.

122420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 122420400 is about 11064.3752647856. The cubic root of 122420400 is about 496.5365984244.

Adding to 122420400 its reverse (4024221), we get a palindrome (126444621).

The spelling of 122420400 in words is "one hundred twenty-two million, four hundred twenty thousand, four hundred".