30123405312 has 832 divisors, whose sum is σ = 112729128960. Its totient is φ = 6900940800.

The previous prime is 30123405283. The next prime is 30123405349. The reversal of 30123405312 is 21350432103.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381308889 + ... + 381308967.

Almost surely, 2^30123405312 is an apocalyptic number.

30123405312 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 30123405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56364564480).

30123405312 is an abundant number, since it is smaller than the sum of its proper divisors (82605723648).

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

30123405312 is a wasteful number, since it uses less digits than its factorization.

30123405312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 30123405312 its reverse (21350432103), we get a palindrome (51473837415).

The spelling of 30123405312 in words is "thirty billion, one hundred twenty-three million, four hundred five thousand, three hundred twelve".