213123123120 has 160 divisors (see below), whose sum is σ = 696647911680. Its totient is φ = 53749232640.

The previous prime is 213123123113. The next prime is 213123123121. The reversal of 213123123120 is 21321321312.

It is not an unprimeable number, because it can be changed into a prime (213123123121) 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, 2636910 + ... + 2716530.

It is an arithmetic number, because the mean of its divisors is an integer number (4354049448).

Almost surely, 2^213123123120 is an apocalyptic number.

213123123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213123123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348323955840).

213123123120 is an abundant number, since it is smaller than the sum of its proper divisors (483524788560).

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

213123123120 is a wasteful number, since it uses less digits than its factorization.

213123123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80243 (or 80237 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213123123120 its reverse (21321321312), we get a palindrome (234444444432).

The spelling of 213123123120 in words is "two hundred thirteen billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty".