214002122434120 has 64 divisors (see below), whose sum is σ = 482625604984320. Its totient is φ = 85401597625344.

The previous prime is 214002122434117. The next prime is 214002122434229. The reversal of 214002122434120 is 21434221200412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624324969 + ... + 1624456711.

It is an arithmetic number, because the mean of its divisors is an integer number (7541025077880).

Almost surely, 2^{214002122434120} is an apocalyptic number.

214002122434120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214002122434120 is an abundant number, since it is smaller than the sum of its proper divisors (268623482550200).

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

214002122434120 is a wasteful number, since it uses less digits than its factorization.

214002122434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225974 (or 225970 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 214002122434120 its reverse (21434221200412), we get a palindrome (235436343634532).

The spelling of 214002122434120 in words is "two hundred fourteen trillion, two billion, one hundred twenty-two million, four hundred thirty-four thousand, one hundred twenty".