122100 has 72 divisors (see below), whose sum is σ = 395808. Its totient is φ = 28800.

The previous prime is 122099. The next prime is 122117. The reversal of 122100 is 1221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3282 + ... + 3318.

2¹²²¹⁰⁰ is an apocalyptic number.

122100 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 122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904).

122100 is an abundant number, since it is smaller than the sum of its proper divisors (273708).

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

122100 is a wasteful number, since it uses less digits than its factorization.

122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 122100 is about 349.4281041931. The cubic root of 122100 is about 49.6103039640.

Adding to 122100 its reverse (1221), we get a palindrome (123321).

Multiplying 122100 by its reverse (1221), we get a square (149084100 = 12210²).

122100 divided by its reverse (1221) gives a square (100 = 10²).

It can be divided in two parts, 122 and 100, that added together give a palindrome (222).

The spelling of 122100 in words is "one hundred twenty-two thousand, one hundred", and thus it is an iban number.