321042234102000 has 320 divisors, whose sum is σ = 1041929141600256. Its totient is φ = 85043114956800.

The previous prime is 321042234101983. The next prime is 321042234102011. The reversal of 321042234102000 is 201432240123.

It is a happy number.

It is a super-3 number, since 3×321042234102000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619234884 + ... + 619753116.

Almost surely, 2^{321042234102000} is an apocalyptic number.

321042234102000 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 321042234102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520964570800128).

321042234102000 is an abundant number, since it is smaller than the sum of its proper divisors (720886907498256).

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

321042234102000 is a wasteful number, since it uses less digits than its factorization.

321042234102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518945 (or 518929 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 321042234102000 its reverse (201432240123), we get a palindrome (321243666342123).

The spelling of 321042234102000 in words is "three hundred twenty-one trillion, forty-two billion, two hundred thirty-four million, one hundred two thousand".