30012301101312 has 576 divisors, whose sum is σ = 92500111334400. Its totient is φ = 9586999296000.

The previous prime is 30012301101301. The next prime is 30012301101313. The reversal of 30012301101312 is 21310110321003.

30012301101312 is a `hidden beast` number, since 30 + 0 + 12 + 301 + 10 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (30012301101313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29053533948 + ... + 29053534980.

Almost surely, 2^{30012301101312} is an apocalyptic number.

30012301101312 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 30012301101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46250055667200).

30012301101312 is an abundant number, since it is smaller than the sum of its proper divisors (62487810233088).

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

30012301101312 is a wasteful number, since it uses less digits than its factorization.

30012301101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2011 counting only the distinct ones).

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

Adding to 30012301101312 its reverse (21310110321003), we get a palindrome (51322411422315).

The spelling of 30012301101312 in words is "thirty trillion, twelve billion, three hundred one million, one hundred one thousand, three hundred twelve".