212403120 has 80 divisors (see below), whose sum is σ = 663290880. Its totient is φ = 56224512.

The previous prime is 212403119. The next prime is 212403157. The reversal of 212403120 is 21304212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212403120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30177 + ... + 36543.

It is an arithmetic number, because the mean of its divisors is an integer number (8291136).

Almost surely, 2^212403120 is an apocalyptic number.

212403120 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 212403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331645440).

212403120 is an abundant number, since it is smaller than the sum of its proper divisors (450887760).

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

212403120 is a wasteful number, since it uses less digits than its factorization.

212403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6522 (or 6516 counting only the distinct ones).

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

The square root of 212403120 is about 14574.0564017023. The cubic root of 212403120 is about 596.6508961775.

Adding to 212403120 its reverse (21304212), we get a palindrome (233707332).

The spelling of 212403120 in words is "two hundred twelve million, four hundred three thousand, one hundred twenty".