321201121000212 has 288 divisors, whose sum is σ = 876228410453760. Its totient is φ = 98954665666560.

The previous prime is 321201121000141. The next prime is 321201121000223. The reversal of 321201121000212 is 212000121102123.

321201121000212 is a `hidden beast` number, since 321 + 20 + 1 + 12 + 100 + 0 + 212 = 666.

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 95 ways as a sum of consecutive naturals, for example, 17831619318 + ... + 17831637330.

It is an arithmetic number, because the mean of its divisors is an integer number (3042459758520).

Almost surely, 2^{321201121000212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321201121000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438114205226880).

321201121000212 is an abundant number, since it is smaller than the sum of its proper divisors (555027289453548).

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

321201121000212 is a wasteful number, since it uses less digits than its factorization.

321201121000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23103 (or 23098 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 321201121000212 its reverse (212000121102123), we get a palindrome (533201242102335).

The spelling of 321201121000212 in words is "three hundred twenty-one trillion, two hundred one billion, one hundred twenty-one million, two hundred twelve", and thus it is an aban number.