30061200 has 240 divisors, whose sum is σ = 108493056. Its totient is φ = 7065600.

The previous prime is 30061183. The next prime is 30061223. The reversal of 30061200 is 216003.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 639577 + ... + 639623.

Almost surely, 2^30061200 is an apocalyptic number.

30061200 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 30061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54246528).

30061200 is an abundant number, since it is smaller than the sum of its proper divisors (78431856).

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

30061200 is a wasteful number, since it uses less digits than its factorization.

30061200 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 36, while the sum is 12.

The square root of 30061200 is about 5482.8094987880. The cubic root of 30061200 is about 310.9343988900.

Adding to 30061200 its reverse (216003), we get a palindrome (30277203).

The spelling of 30061200 in words is "thirty million, sixty-one thousand, two hundred".