12011012112330 has 288 divisors, whose sum is σ = 39783897092160. Its totient is φ = 2486080880640.

The previous prime is 12011012112317. The next prime is 12011012112361. The reversal of 12011012112330 is 3321121011021.

12011012112330 is a `hidden beast` number, since 1 + 20 + 1 + 101 + 211 + 2 + 330 = 666.

12011012112330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12011012112330³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11985361 + ... + 12948779.

It is an arithmetic number, because the mean of its divisors is an integer number (138138531570).

Almost surely, 2^{12011012112330} is an apocalyptic number.

12011012112330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011012112330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891948546080).

12011012112330 is an abundant number, since it is smaller than the sum of its proper divisors (27772884979830).

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

12011012112330 is a wasteful number, since it uses less digits than its factorization.

12011012112330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963714 (or 963704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12011012112330 its reverse (3321121011021), we get a palindrome (15332133123351).

The spelling of 12011012112330 in words is "twelve trillion, eleven billion, twelve million, one hundred twelve thousand, three hundred thirty".