121200 has 60 divisors (see below), whose sum is σ = 392088. Its totient is φ = 32000.

The previous prime is 121189. The next prime is 121229. The reversal of 121200 is 2121.

121200 = T₁₁₅ + T₁₁₆ + ... + T₁₃₀.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1150 + ... + 1250.

2¹²¹²⁰⁰ is an apocalyptic number.

121200 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 121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196044).

121200 is an abundant number, since it is smaller than the sum of its proper divisors (270888).

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

121200 is a wasteful number, since it uses less digits than its factorization.

121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

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

The square root of 121200 is about 348.1379037106. The cubic root of 121200 is about 49.4881106023.

Adding to 121200 its reverse (2121), we get a palindrome (123321).

It can be divided in two parts, 12 and 1200, that multiplied together give a square (14400 = 120²).

The spelling of 121200 in words is "one hundred twenty-one thousand, two hundred", and thus it is an iban number.