12002210102112 has 48 divisors (see below), whose sum is σ = 31644593652672. Its totient is φ = 3983112302720.

The previous prime is 12002210102107. The next prime is 12002210102117. The reversal of 12002210102112 is 21120101220021.

It is an interprime number because it is at equal distance from previous prime (12002210102107) and next prime (12002210102117).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12002210102091 and 12002210102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002210102117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275359314 + ... + 275402897.

It is an arithmetic number, because the mean of its divisors is an integer number (659262367764).

Almost surely, 2^{12002210102112} is an apocalyptic number.

12002210102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002210102112 is an abundant number, since it is smaller than the sum of its proper divisors (19642383550560).

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

12002210102112 is a wasteful number, since it uses less digits than its factorization.

12002210102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550762451 (or 550762443 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12002210102112 its reverse (21120101220021), we get a palindrome (33122311322133).

The spelling of 12002210102112 in words is "twelve trillion, two billion, two hundred ten million, one hundred two thousand, one hundred twelve".