213121200000 has 192 divisors, whose sum is σ = 707587680240. Its totient is φ = 56832000000.

The previous prime is 213121199939. The next prime is 213121200007. The reversal of 213121200000 is 2121312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121200007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1111200 + ... + 1288800.

Almost surely, 2^213121200000 is an apocalyptic number.

213121200000 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 213121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353793840120).

213121200000 is an abundant number, since it is smaller than the sum of its proper divisors (494466480240).

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

213121200000 is an frugal number, since it uses more digits than its factorization.

213121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177643 (or 177611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 213121200000 its reverse (2121312), we get a palindrome (213123321312).

The spelling of 213121200000 in words is "two hundred thirteen billion, one hundred twenty-one million, two hundred thousand".