321112011000 has 512 divisors, whose sum is σ = 1137037824000. Its totient is φ = 74760192000.

The previous prime is 321112010953. The next prime is 321112011013. The reversal of 321112011000 is 110211123.

It is a super-2 number, since 2×321112011000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96457336 + ... + 96460664.

It is an arithmetic number, because the mean of its divisors is an integer number (2220777000).

Almost surely, 2^321112011000 is an apocalyptic number.

321112011000 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 321112011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568518912000).

321112011000 is an abundant number, since it is smaller than the sum of its proper divisors (815925813000).

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

321112011000 is a wasteful number, since it uses less digits than its factorization.

321112011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 321112011000 its reverse (110211123), we get a palindrome (321222222123).

The spelling of 321112011000 in words is "three hundred twenty-one billion, one hundred twelve million, eleven thousand".