214004234120 has 48 divisors (see below), whose sum is σ = 511499767140. Its totient is φ = 80566295552.

The previous prime is 214004234099. The next prime is 214004234141. The reversal of 214004234120 is 21432400412.

It is an interprime number because it is at equal distance from previous prime (214004234099) and next prime (214004234141).

It can be written as a sum of positive squares in 6 ways, for example, as 98416473796 + 115587760324 = 313714^2 + 339982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9244679 + ... + 9267798.

Almost surely, 2^214004234120 is an apocalyptic number.

214004234120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214004234120 is an abundant number, since it is smaller than the sum of its proper divisors (297495533020).

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

214004234120 is a wasteful number, since it uses less digits than its factorization.

214004234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18512522 (or 18512501 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 214004234120 its reverse (21432400412), we get a palindrome (235436634532).

The spelling of 214004234120 in words is "two hundred fourteen billion, four million, two hundred thirty-four thousand, one hundred twenty".