3121200 has 180 divisors, whose sum is σ = 11801080. Its totient is φ = 783360.

The previous prime is 3121199. The next prime is 3121201. The reversal of 3121200 is 21213.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3121199) and next prime (3121201).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3121201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183592 + ... + 183608.

Almost surely, 2^3121200 is an apocalyptic number.

3121200 is a gapful number since it is divisible by the number (30) 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 3121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900540).

3121200 is an abundant number, since it is smaller than the sum of its proper divisors (8679880).

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

3121200 is a wasteful number, since it uses less digits than its factorization.

3121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3121200 is about 1766.6918237203. The cubic root of 3121200 is about 146.1416027815.

Multiplying 3121200 by its product of nonzero digits (12), we get a square (37454400 = 6120²).

3121200 divided by its product of nonzero digits (12) gives a square (260100 = 510²).

Adding to 3121200 its reverse (21213), we get a palindrome (3142413).

It can be divided in two parts, 3121 and 200, that added together give a triangular number (3321 = T₈₁).

The spelling of 3121200 in words is "three million, one hundred twenty-one thousand, two hundred".