212345120 has 72 divisors (see below), whose sum is σ = 543292596. Its totient is φ = 78394368.

The previous prime is 212345093. The next prime is 212345123. The reversal of 212345120 is 21543212.

It can be written as a sum of positive squares in 6 ways, for example, as 1936 + 212343184 = 44^2 + 14572^2 .

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 = 212345092 and 212345101.

It is not an unprimeable number, because it can be changed into a prime (212345123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23114 + ... + 30966.

Almost surely, 2^212345120 is an apocalyptic number.

212345120 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 212345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271646298).

212345120 is an abundant number, since it is smaller than the sum of its proper divisors (330947476).

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

212345120 is a wasteful number, since it uses less digits than its factorization.

212345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894 (or 7873 counting only the distinct ones).

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

The square root of 212345120 is about 14572.0664286161. The cubic root of 212345120 is about 596.5965829415.

Adding to 212345120 its reverse (21543212), we get a palindrome (233888332).

The spelling of 212345120 in words is "two hundred twelve million, three hundred forty-five thousand, one hundred twenty".