30012001200 has 180 divisors, whose sum is σ = 106884611080. Its totient is φ = 7998399360.

The previous prime is 30012001181. The next prime is 30012001213. The reversal of 30012001200 is 210021003.

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 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18002767 + ... + 18004433.

Almost surely, 2^30012001200 is an apocalyptic number.

30012001200 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 30012001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53442305540).

30012001200 is an abundant number, since it is smaller than the sum of its proper divisors (76872609880).

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

30012001200 is an equidigital number, since it uses as much as digits as its factorization.

30012001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 1677 counting only the distinct ones).

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

Multiplying 30012001200 by its product of nonzero digits (12), we get a square (360144014400 = 600120²).

30012001200 divided by its product of nonzero digits (12) gives a square (2501000100 = 50010²).

Adding to 30012001200 its reverse (210021003), we get a palindrome (30222022203).

The spelling of 30012001200 in words is "thirty billion, twelve million, one thousand, two hundred".