213122002032000 has 1536 divisors, whose sum is σ = 789760751719680. Its totient is φ = 55056384000000.

The previous prime is 213122002031987. The next prime is 213122002032019. The reversal of 213122002032000 is 230200221312.

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 191 ways as a sum of consecutive naturals, for example, 206713871485 + ... + 206713872515.

Almost surely, 2^{213122002032000} is an apocalyptic number.

213122002032000 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 213122002032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394880375859840).

213122002032000 is an abundant number, since it is smaller than the sum of its proper divisors (576638749687680).

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

213122002032000 is a wasteful number, since it uses less digits than its factorization.

213122002032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213122002032000 its reverse (230200221312), we get a palindrome (213352202253312).

The spelling of 213122002032000 in words is "two hundred thirteen trillion, one hundred twenty-two billion, two million, thirty-two thousand".