321122123100000 has 1728 divisors, whose sum is σ = 1202885566646400. Its totient is φ = 81168998400000.

The previous prime is 321122123099993. The next prime is 321122123100011. The reversal of 321122123100000 is 1321221123.

321122123100000 is a `hidden beast` number, since 3 + 211 + 221 + 231 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×321122123100000² (a number of 30 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 229536899301 + ... + 229536900699.

It is an arithmetic number, because the mean of its divisors is an integer number (696114332550).

Almost surely, 2^{321122123100000} is an apocalyptic number.

321122123100000 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 321122123100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601442783323200).

321122123100000 is an abundant number, since it is smaller than the sum of its proper divisors (881763443546400).

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

321122123100000 is a wasteful number, since it uses less digits than its factorization.

321122123100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321122123100000 its reverse (1321221123), we get a palindrome (321123444321123).

It can be divided in two parts, 321122123 and 100000, that added together give a palindrome (321222123).

The spelling of 321122123100000 in words is "three hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-three million, one hundred thousand".