214204121402412 has 96 divisors (see below), whose sum is σ = 536732245969920. Its totient is φ = 66246351575040.

The previous prime is 214204121402371. The next prime is 214204121402419.

214204121402412 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 214204121402412.

It is not an unprimeable number, because it can be changed into a prime (214204121402419) 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, 113180928 + ... + 115057944.

It is an arithmetic number, because the mean of its divisors is an integer number (5590960895520).

Almost surely, 2^{214204121402412} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214204121402412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268366122984960).

214204121402412 is an abundant number, since it is smaller than the sum of its proper divisors (322528124567508).

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

214204121402412 is a wasteful number, since it uses less digits than its factorization.

214204121402412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884991 (or 1884989 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 214204121402412 in words is "two hundred fourteen trillion, two hundred four billion, one hundred twenty-one million, four hundred two thousand, four hundred twelve".