30003112113120 has 240 divisors, whose sum is σ = 107226315725760. Its totient is φ = 7899553299456.

The previous prime is 30003112113097. The next prime is 30003112113179. The reversal of 30003112113120 is 2131121130003.

30003112113120 is a `hidden beast` number, since 30 + 0 + 0 + 311 + 2 + 11 + 312 + 0 = 666.

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

It is a super-2 number, since 2×30003112113120² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30003112113093 and 30003112113102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13628407 + ... + 15676086.

It is an arithmetic number, because the mean of its divisors is an integer number (446776315524).

Almost surely, 2^{30003112113120} is an apocalyptic number.

30003112113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30003112113120 is an abundant number, since it is smaller than the sum of its proper divisors (77223203612640).

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

30003112113120 is a wasteful number, since it uses less digits than its factorization.

30003112113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29304599 (or 29304582 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 30003112113120 its reverse (2131121130003), we get a palindrome (32134233243123).

The spelling of 30003112113120 in words is "thirty trillion, three billion, one hundred twelve million, one hundred thirteen thousand, one hundred twenty".