3121412144100 has 72 divisors (see below), whose sum is σ = 9032121053088. Its totient is φ = 832299590400.

The previous prime is 3121412144069. The next prime is 3121412144111. The reversal of 3121412144100 is 14412141213.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2805435 + ... + 3756765.

Almost surely, 2^{3121412144100} is an apocalyptic number.

3121412144100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121412144100 is an abundant number, since it is smaller than the sum of its proper divisors (5910708908988).

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

3121412144100 is a wasteful number, since it uses less digits than its factorization.

3121412144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962285 (or 962278 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 3121412144100 its reverse (14412141213), we get a palindrome (3135824285313).

The spelling of 3121412144100 in words is "three trillion, one hundred twenty-one billion, four hundred twelve million, one hundred forty-four thousand, one hundred".