321012323434020 has 384 divisors, whose sum is σ = 986579445229056. Its totient is φ = 77657122013184.

The previous prime is 321012323434009. The next prime is 321012323434021. The reversal of 321012323434020 is 20434323210123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (321012323434021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8883185392 + ... + 8883221528.

It is an arithmetic number, because the mean of its divisors is an integer number (2569217305284).

Almost surely, 2^{321012323434020} is an apocalyptic number.

321012323434020 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 321012323434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493289722614528).

321012323434020 is an abundant number, since it is smaller than the sum of its proper divisors (665567121795036).

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

321012323434020 is a wasteful number, since it uses less digits than its factorization.

321012323434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38399 (or 38397 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 321012323434020 its reverse (20434323210123), we get a palindrome (341446646644143).

The spelling of 321012323434020 in words is "three hundred twenty-one trillion, twelve billion, three hundred twenty-three million, four hundred thirty-four thousand, twenty".