213120312000 has 224 divisors, whose sum is σ = 706841441280. Its totient is φ = 56580275200.

The previous prime is 213120311969. The next prime is 213120312001. The reversal of 213120312000 is 213021312.

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 (213120312001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5428441 + ... + 5467559.

Almost surely, 2^213120312000 is an apocalyptic number.

213120312000 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 213120312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353420720640).

213120312000 is an abundant number, since it is smaller than the sum of its proper divisors (493721129280).

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

213120312000 is a wasteful number, since it uses less digits than its factorization.

213120312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39376 (or 39356 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213120312000 its reverse (213021312), we get a palindrome (213333333312).

The spelling of 213120312000 in words is "two hundred thirteen billion, one hundred twenty million, three hundred twelve thousand".