30123201312 has 144 divisors (see below), whose sum is σ = 92609112960. Its totient is φ = 9255430656.

The previous prime is 30123201203. The next prime is 30123201313. The reversal of 30123201312 is 21310232103.

30123201312 is a `hidden beast` number, since 30 + 1 + 2 + 320 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (30123201313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128073 + ... + 276855.

It is an arithmetic number, because the mean of its divisors is an integer number (643118840).

Almost surely, 2^30123201312 is an apocalyptic number.

30123201312 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 30123201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46304556480).

30123201312 is an abundant number, since it is smaller than the sum of its proper divisors (62485911648).

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

30123201312 is a wasteful number, since it uses less digits than its factorization.

30123201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148855 (or 148844 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30123201312 its reverse (21310232103), we get a palindrome (51433433415).

The spelling of 30123201312 in words is "thirty billion, one hundred twenty-three million, two hundred one thousand, three hundred twelve".