12010010102112 has 96 divisors (see below), whose sum is σ = 36202422856320. Its totient is φ = 3447849784320.

The previous prime is 12010010102099. The next prime is 12010010102179. The reversal of 12010010102112 is 21120101001021.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 299272453 + ... + 299312580.

It is an arithmetic number, because the mean of its divisors is an integer number (377108571420).

Almost surely, 2^{12010010102112} is an apocalyptic number.

12010010102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12010010102112 is an abundant number, since it is smaller than the sum of its proper divisors (24192412754208).

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

12010010102112 is a wasteful number, since it uses less digits than its factorization.

12010010102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598585076 (or 598585068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12010010102112 its reverse (21120101001021), we get a palindrome (33130111103133).

The spelling of 12010010102112 in words is "twelve trillion, ten billion, ten million, one hundred two thousand, one hundred twelve".