420212512 has 48 divisors (see below), whose sum is σ = 891142560. Its totient is φ = 194406912.

The previous prime is 420212509. The next prime is 420212519. The reversal of 420212512 is 215212024.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 420212512.

It is not an unprimeable number, because it can be changed into a prime (420212519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18108 + ... + 34180.

It is an arithmetic number, because the mean of its divisors is an integer number (18565470).

Almost surely, 2^420212512 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 420212512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445571280).

420212512 is an abundant number, since it is smaller than the sum of its proper divisors (470930048).

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

420212512 is a wasteful number, since it uses less digits than its factorization.

420212512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16145 (or 16137 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 420212512 is about 20499.0856381449. The cubic root of 420212512 is about 749.0135249842.

Adding to 420212512 its reverse (215212024), we get a palindrome (635424536).

The spelling of 420212512 in words is "four hundred twenty million, two hundred twelve thousand, five hundred twelve".