214004214100120 has 128 divisors (see below), whose sum is σ = 545464734897600. Its totient is φ = 75074715648000.

The previous prime is 214004214100111. The next prime is 214004214100169. The reversal of 214004214100120 is 21001412400412.

It is a junction number, because it is equal to n+sod(n) for n = 214004214100091 and 214004214100100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134980681 + ... + 136556920.

Almost surely, 2^{214004214100120} is an apocalyptic number.

214004214100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214004214100120 is an abundant number, since it is smaller than the sum of its proper divisors (331460520797480).

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

214004214100120 is a wasteful number, since it uses less digits than its factorization.

214004214100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271537709 (or 271537705 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 214004214100120 its reverse (21001412400412), we get a palindrome (235005626500532).

The spelling of 214004214100120 in words is "two hundred fourteen trillion, four billion, two hundred fourteen million, one hundred thousand, one hundred twenty".