321012122214420 has 288 divisors, whose sum is σ = 1202900459604480. Its totient is φ = 67478244756480.

The previous prime is 321012122214401. The next prime is 321012122214479. The reversal of 321012122214420 is 24412221210123.

321012122214420 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 1 + 2 + 1 + 22 + 214 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32020936 + ... + 40833375.

It is an arithmetic number, because the mean of its divisors is an integer number (4176737706960).

Almost surely, 2^{321012122214420} is an apocalyptic number.

321012122214420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321012122214420 is an abundant number, since it is smaller than the sum of its proper divisors (881888337390060).

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

321012122214420 is a wasteful number, since it uses less digits than its factorization.

321012122214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72854615 (or 72854610 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 321012122214420 its reverse (24412221210123), we get a palindrome (345424343424543).

The spelling of 321012122214420 in words is "three hundred twenty-one trillion, twelve billion, one hundred twenty-two million, two hundred fourteen thousand, four hundred twenty".