213201111120000 has 640 divisors, whose sum is σ = 714265449891840. Its totient is φ = 56325855744000.

The previous prime is 213201111119959. The next prime is 213201111120007. The reversal of 213201111120000 is 21111102312.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (213201111120007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12304551337 + ... + 12304568663.

It is an arithmetic number, because the mean of its divisors is an integer number (1116039765456).

Almost surely, 2^{213201111120000} is an apocalyptic number.

213201111120000 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 213201111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357132724945920).

213201111120000 is an abundant number, since it is smaller than the sum of its proper divisors (501064338771840).

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

213201111120000 is a wasteful number, since it uses less digits than its factorization.

213201111120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17838 (or 17811 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 213201111120000 its reverse (21111102312), we get a palindrome (213222222222312).

The spelling of 213201111120000 in words is "two hundred thirteen trillion, two hundred one billion, one hundred eleven million, one hundred twenty thousand".