12121001012112 has 160 divisors (see below), whose sum is σ = 34159621501440. Its totient is φ = 3688996945920.

The previous prime is 12121001012017. The next prime is 12121001012117. The reversal of 12121001012112 is 21121010012121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12121001012091 and 12121001012100.

It is not an unprimeable number, because it can be changed into a prime (12121001012117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2274537 + ... + 5423607.

It is an arithmetic number, because the mean of its divisors is an integer number (213497634384).

Almost surely, 2^{12121001012112} is an apocalyptic number.

12121001012112 is a gapful number since it is divisible by the number (12) 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 12121001012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079810750720).

12121001012112 is an abundant number, since it is smaller than the sum of its proper divisors (22038620489328).

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

12121001012112 is a wasteful number, since it uses less digits than its factorization.

12121001012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149241 (or 3149235 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12121001012112 its reverse (21121010012121), we get a palindrome (33242011024233).

Subtracting 12121001012112 from its reverse (21121010012121), we obtain a palindrome (9000009000009).

The spelling of 12121001012112 in words is "twelve trillion, one hundred twenty-one billion, one million, twelve thousand, one hundred twelve".