30113121312 has 288 divisors, whose sum is σ = 91070179200. Its totient is φ = 9419452416.

The previous prime is 30113121221. The next prime is 30113121319. The reversal of 30113121312 is 21312131103.

30113121312 is a `hidden beast` number, since 30 + 11 + 312 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (30113121319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129240748 + ... + 129240980.

It is an arithmetic number, because the mean of its divisors is an integer number (316215900).

Almost surely, 2^30113121312 is an apocalyptic number.

30113121312 is a gapful number since it is divisible by the number (32) 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 30113121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45535089600).

30113121312 is an abundant number, since it is smaller than the sum of its proper divisors (60957057888).

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

30113121312 is a wasteful number, since it uses less digits than its factorization.

30113121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

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

Adding to 30113121312 its reverse (21312131103), we get a palindrome (51425252415).

The spelling of 30113121312 in words is "thirty billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred twelve".