213024011200000 has 1440 divisors, whose sum is σ = 727095277361376. Its totient is φ = 61286400000000.

The previous prime is 213024011199973. The next prime is 213024011200037. The reversal of 213024011200000 is 2110420312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11211190500 + ... + 11211209500.

Almost surely, 2^{213024011200000} is an apocalyptic number.

213024011200000 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 213024011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363547638680688).

213024011200000 is an abundant number, since it is smaller than the sum of its proper divisors (514071266161376).

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

213024011200000 is an equidigital number, since it uses as much as digits as its factorization.

213024011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19082 (or 19039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 213024011200000 its reverse (2110420312), we get a palindrome (213026121620312).

The spelling of 213024011200000 in words is "two hundred thirteen trillion, twenty-four billion, eleven million, two hundred thousand".