30120120030000 has 800 divisors, whose sum is σ = 130549071324672. Its totient is φ = 5777280000000.

The previous prime is 30120120029971. The next prime is 30120120030017. The reversal of 30120120030000 is 3002102103.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29528500 + ... + 30531500.

Almost surely, 2^{30120120030000} is an apocalyptic number.

30120120030000 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 30120120030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65274535662336).

30120120030000 is an abundant number, since it is smaller than the sum of its proper divisors (100428951294672).

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

30120120030000 is a wasteful number, since it uses less digits than its factorization.

30120120030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003063 (or 1003042 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30120120030000 its reverse (3002102103), we get a palindrome (30123122132103).

It can be divided in two parts, 301201200 and 30000, that multiplied together give a square (9036036000000 = 3006000²).

The spelling of 30120120030000 in words is "thirty trillion, one hundred twenty billion, one hundred twenty million, thirty thousand".