321110000101200 has 120 divisors (see below), whose sum is σ = 1028830989146976. Its totient is φ = 85611966272000.

The previous prime is 321110000101141. The next prime is 321110000101207. The reversal of 321110000101200 is 2101000011123.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×321110000101200² (a number of 30 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 not an unprimeable number, because it can be changed into a prime (321110000101207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21216411 + ... + 33050810.

Almost surely, 2^{321110000101200} is an apocalyptic number.

321110000101200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321110000101200 is an abundant number, since it is smaller than the sum of its proper divisors (707720989045776).

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

321110000101200 is a wasteful number, since it uses less digits than its factorization.

321110000101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54272173 (or 54272162 counting only the distinct ones).

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

Adding to 321110000101200 its reverse (2101000011123), we get a palindrome (323211000112323).

The spelling of 321110000101200 in words is "three hundred twenty-one trillion, one hundred ten billion, one hundred one thousand, two hundred".