30001200 has 120 divisors (see below), whose sum is σ = 100374528. Its totient is φ = 7645440.

The previous prime is 30001157. The next prime is 30001201. The reversal of 30001200 is 210003.

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 (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 not an unprimeable number, because it can be changed into a prime (30001201) 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, 27057 + ... + 28143.

Almost surely, 2^30001200 is an apocalyptic number.

30001200 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 30001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50187264).

30001200 is an abundant number, since it is smaller than the sum of its proper divisors (70373328).

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

30001200 is a wasteful number, since it uses less digits than its factorization.

30001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1120 counting only the distinct ones).

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

The square root of 30001200 is about 5477.3351184677. The cubic root of 30001200 is about 310.7273935168.

Adding to 30001200 its reverse (210003), we get a palindrome (30211203).

The spelling of 30001200 in words is "thirty million, one thousand, two hundred".