212513420 has 48 divisors (see below), whose sum is σ = 515323200. Its totient is φ = 72105984.

The previous prime is 212513419. The next prime is 212513443. The reversal of 212513420 is 24315212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212513392 and 212513401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5756 + ... + 21404.

It is an arithmetic number, because the mean of its divisors is an integer number (10735900).

Almost surely, 2^212513420 is an apocalyptic number.

212513420 is a gapful number since it is divisible by the number (20) 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 212513420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257661600).

212513420 is an abundant number, since it is smaller than the sum of its proper divisors (302809780).

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

212513420 is a wasteful number, since it uses less digits than its factorization.

212513420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15762 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 212513420 is about 14577.8400320486. The cubic root of 212513420 is about 596.7541576949.

Adding to 212513420 its reverse (24315212), we get a palindrome (236828632).

The spelling of 212513420 in words is "two hundred twelve million, five hundred thirteen thousand, four hundred twenty".