30121200 has 120 divisors (see below), whose sum is σ = 107247600. Its totient is φ = 8029440.

The previous prime is 30121163. The next prime is 30121207. The reversal of 30121200 is 212103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30121207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9406 + ... + 12194.

It is an arithmetic number, because the mean of its divisors is an integer number (893730).

Almost surely, 2^30121200 is an apocalyptic number.

30121200 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 30121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53623800).

30121200 is an abundant number, since it is smaller than the sum of its proper divisors (77126400).

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

30121200 is a wasteful number, since it uses less digits than its factorization.

30121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2799 counting only the distinct ones).

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

The square root of 30121200 is about 5488.2784185936. The cubic root of 30121200 is about 311.1411290008.

Adding to 30121200 its reverse (212103), we get a palindrome (30333303).

The spelling of 30121200 in words is "thirty million, one hundred twenty-one thousand, two hundred".