321420321000 has 288 divisors, whose sum is σ = 1146600678600. Its totient is φ = 81200102400.

The previous prime is 321420320993. The next prime is 321420321037. The reversal of 321420321000 is 123024123.

321420321000 is a `hidden beast` number, since 32 + 1 + 420 + 3 + 210 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41501023524 + 279919297476 = 203718^2 + 529074^2 .

It is a super-2 number, since 2×321420321000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3199536 + ... + 3298464.

Almost surely, 2^321420321000 is an apocalyptic number.

321420321000 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 321420321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573300339300).

321420321000 is an abundant number, since it is smaller than the sum of its proper divisors (825180357600).

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

321420321000 is a wasteful number, since it uses less digits than its factorization.

321420321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98994 (or 98958 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 321420321000 its reverse (123024123), we get a palindrome (321543345123).

The spelling of 321420321000 in words is "three hundred twenty-one billion, four hundred twenty million, three hundred twenty-one thousand".