30122001312 has 96 divisors (see below), whose sum is σ = 86030788032. Its totient is φ = 9172721664.

The previous prime is 30122001311. The next prime is 30122001331. The reversal of 30122001312 is 21310022103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 30122001291 and 30122001300.

It is not an unprimeable number, because it can be changed into a prime (30122001311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3358 + ... + 245469.

It is an arithmetic number, because the mean of its divisors is an integer number (896154042).

Almost surely, 2^30122001312 is an apocalyptic number.

30122001312 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 30122001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43015394016).

30122001312 is an abundant number, since it is smaller than the sum of its proper divisors (55908786720).

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

30122001312 is a wasteful number, since it uses less digits than its factorization.

30122001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248950 (or 248942 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30122001312 its reverse (21310022103), we get a palindrome (51432023415).

The spelling of 30122001312 in words is "thirty billion, one hundred twenty-two million, one thousand, three hundred twelve".