12012131022100 has 108 divisors (see below), whose sum is σ = 28914274519900. Its totient is φ = 4327973337600.

The previous prime is 12012131021983. The next prime is 12012131022107. The reversal of 12012131022100 is 122013121021.

It can be written as a sum of positive squares in 6 ways, for example, as 88549095184 + 11923581926916 = 297572^2 + 3453054^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012131022107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3234945 + ... + 5872744.

Almost surely, 2^{12012131022100} is an apocalyptic number.

12012131022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012131022100 is an abundant number, since it is smaller than the sum of its proper divisors (16902143497800).

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

12012131022100 is a wasteful number, since it uses less digits than its factorization.

12012131022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107834 (or 9107816 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12012131022100 its reverse (122013121021), we get a palindrome (12134144143121).

The spelling of 12012131022100 in words is "twelve trillion, twelve billion, one hundred thirty-one million, twenty-two thousand, one hundred".