213222121110000 has 600 divisors, whose sum is σ = 773405374108224. Its totient is φ = 54774662400000.

The previous prime is 213222121109999. The next prime is 213222121110059. The reversal of 213222121110000 is 11121222312.

213222121110000 is a `hidden beast` number, since 2 + 132 + 221 + 211 + 100 + 0 + 0 = 666.

213222121110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 336013017 + ... + 336646983.

Almost surely, 2^{213222121110000} is an apocalyptic number.

213222121110000 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 213222121110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386702687054112).

213222121110000 is an abundant number, since it is smaller than the sum of its proper divisors (560183252998224).

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

213222121110000 is a wasteful number, since it uses less digits than its factorization.

213222121110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634139 (or 634115 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213222121110000 its reverse (11121222312), we get a palindrome (213233242332312).

The spelling of 213222121110000 in words is "two hundred thirteen trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand".