213212421000 has 192 divisors, whose sum is σ = 723014772480. Its totient is φ = 56670710400.

The previous prime is 213212420987. The next prime is 213212421007. The reversal of 213212421000 is 124212312.

It is a happy number.

213212421000 is a `hidden beast` number, since 2 + 1 + 321 + 242 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213212421007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2724417 + ... + 2801583.

It is an arithmetic number, because the mean of its divisors is an integer number (3765701940).

Almost surely, 2^213212421000 is an apocalyptic number.

213212421000 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 213212421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361507386240).

213212421000 is an abundant number, since it is smaller than the sum of its proper divisors (509802351480).

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

213212421000 is a wasteful number, since it uses less digits than its factorization.

213212421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77501 (or 77484 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213212421000 its reverse (124212312), we get a palindrome (213336633312).

The spelling of 213212421000 in words is "two hundred thirteen billion, two hundred twelve million, four hundred twenty-one thousand".