30120230032200 has 1152 divisors, whose sum is σ = 130667056416000. Its totient is φ = 6033458995200.

The previous prime is 30120230032181. The next prime is 30120230032237. The reversal of 30120230032200 is 223003202103.

It is a happy number.

30120230032200 is a `hidden beast` number, since 30 + 12 + 0 + 2 + 300 + 322 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2721128266 + ... + 2721139334.

It is an arithmetic number, because the mean of its divisors is an integer number (113426264250).

Almost surely, 2^{30120230032200} is an apocalyptic number.

30120230032200 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 30120230032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65333528208000).

30120230032200 is an abundant number, since it is smaller than the sum of its proper divisors (100546826383800).

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

30120230032200 is a wasteful number, since it uses less digits than its factorization.

30120230032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11815 (or 11803 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30120230032200 its reverse (223003202103), we get a palindrome (30343233234303).

The spelling of 30120230032200 in words is "thirty trillion, one hundred twenty billion, two hundred thirty million, thirty-two thousand, two hundred".