213120211200000 has 1152 divisors, whose sum is σ = 791210853014400. Its totient is φ = 50649661440000.

The previous prime is 213120211199923. The next prime is 213120211200097. The reversal of 213120211200000 is 2112021312.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7238385279 + ... + 7238414721.

It is an arithmetic number, because the mean of its divisors is an integer number (686814976575).

Almost surely, 2^{213120211200000} is an apocalyptic number.

213120211200000 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 213120211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395605426507200).

213120211200000 is an abundant number, since it is smaller than the sum of its proper divisors (578090641814400).

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

213120211200000 is an equidigital number, since it uses as much as digits as its factorization.

213120211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29535 (or 29495 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213120211200000 its reverse (2112021312), we get a palindrome (213122323221312).

The spelling of 213120211200000 in words is "two hundred thirteen trillion, one hundred twenty billion, two hundred eleven million, two hundred thousand".