214131121131412 has 48 divisors (see below), whose sum is σ = 404077124449152. Its totient is φ = 99038510524800.

The previous prime is 214131121131409. The next prime is 214131121131419.

It is a happy number.

214131121131412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×214131121131412² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214131121131419) by changing a digit.

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, 267561783 + ... + 268360894.

It is an arithmetic number, because the mean of its divisors is an integer number (8418273426024).

Almost surely, 2^{214131121131412} is an apocalyptic number.

It is an amenable number.

214131121131412 is a deficient number, since it is larger than the sum of its proper divisors (189946003317740).

214131121131412 is a wasteful number, since it uses less digits than its factorization.

214131121131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535922848 (or 535922846 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The spelling of 214131121131412 in words is "two hundred fourteen trillion, one hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-one thousand, four hundred twelve".