321112212000 has 192 divisors, whose sum is σ = 1056487670784. Its totient is φ = 85261670400.

The previous prime is 321112211989. The next prime is 321112212007. The reversal of 321112212000 is 212211123.

It is a super-2 number, since 2×321112212000² (a number of 24 digits) contains 22 as substring.

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 (321112212007) 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, 2738577 + ... + 2853423.

It is an arithmetic number, because the mean of its divisors is an integer number (5502539952).

Almost surely, 2^321112212000 is an apocalyptic number.

321112212000 is a gapful number since it is divisible by the number (30) 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 321112212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528243835392).

321112212000 is an abundant number, since it is smaller than the sum of its proper divisors (735375458784).

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

321112212000 is a wasteful number, since it uses less digits than its factorization.

321112212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115108 (or 115090 counting only the distinct ones).

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

Adding to 321112212000 its reverse (212211123), we get a palindrome (321324423123).

The spelling of 321112212000 in words is "three hundred twenty-one billion, one hundred twelve million, two hundred twelve thousand".