213201122000 has 160 divisors (see below), whose sum is σ = 538942719744. Its totient is φ = 81419712000.

The previous prime is 213201121993. The next prime is 213201122077. The reversal of 213201122000 is 221102312.

It is a happy number.

213201122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×213201122000³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26261942 + ... + 26270058.

Almost surely, 2^213201122000 is an apocalyptic number.

213201122000 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 213201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269471359872).

213201122000 is an abundant number, since it is smaller than the sum of its proper divisors (325741597744).

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

213201122000 is a wasteful number, since it uses less digits than its factorization.

213201122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 213201122000 its reverse (221102312), we get a palindrome (213422224312).

The spelling of 213201122000 in words is "two hundred thirteen billion, two hundred one million, one hundred twenty-two thousand".