122100400 has 60 divisors (see below), whose sum is σ = 294481152. Its totient is φ = 48651520.

The previous prime is 122100397. The next prime is 122100427. The reversal of 122100400 is 4001221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152802 + ... + 153598.

Almost surely, 2^122100400 is an apocalyptic number.

122100400 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 122100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147240576).

122100400 is an abundant number, since it is smaller than the sum of its proper divisors (172380752).

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

122100400 is a wasteful number, since it uses less digits than its factorization.

122100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 122100400 is about 11049.9049769670. The cubic root of 122100400 is about 496.1035813849.

Adding to 122100400 its reverse (4001221), we get a palindrome (126101621).

It can be divided in two parts, 122100 and 400, that added together give a square (122500 = 350²).

The spelling of 122100400 in words is "one hundred twenty-two million, one hundred thousand, four hundred".