122700 has 36 divisors (see below), whose sum is σ = 355880. Its totient is φ = 32640.

The previous prime is 122693. The next prime is 122701. The reversal of 122700 is 7221.

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

It is not an unprimeable number, because it can be changed into a prime (122701) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 96 + ... + 504.

2¹²²⁷⁰⁰ is an apocalyptic number.

122700 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 122700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177940).

122700 is an abundant number, since it is smaller than the sum of its proper divisors (233180).

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

122700 is a wasteful number, since it uses less digits than its factorization.

122700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 122700 is about 350.2855977627. The cubic root of 122700 is about 49.6914329785.

Adding to 122700 its reverse (7221), we get a palindrome (129921).

It can be divided in two parts, 12 and 2700, that multiplied together give a square (32400 = 180²).

The spelling of 122700 in words is "one hundred twenty-two thousand, seven hundred", and thus it is an iban number.