420321012 has 96 divisors (see below), whose sum is σ = 1054166400. Its totient is φ = 130099200.

The previous prime is 420320969. The next prime is 420321019. The reversal of 420321012 is 210123024.

It is a junction number, because it is equal to n+sod(n) for n = 420320982 and 420321000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420321019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1269687 + ... + 1270017.

It is an arithmetic number, because the mean of its divisors is an integer number (10980900).

Almost surely, 2^420321012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527083200).

420321012 is an abundant number, since it is smaller than the sum of its proper divisors (633845388).

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

420321012 is a wasteful number, since it uses less digits than its factorization.

420321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 420321012 is about 20501.7319268397. The cubic root of 420321012 is about 749.0779852050.

Adding to 420321012 its reverse (210123024), we get a palindrome (630444036).

The spelling of 420321012 in words is "four hundred twenty million, three hundred twenty-one thousand, twelve".