212940700 has 72 divisors (see below), whose sum is σ = 533215872. Its totient is φ = 72300480.

The previous prime is 212940677. The next prime is 212940701. The reversal of 212940700 is 7049212.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212940701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73479 + ... + 76321.

It is an arithmetic number, because the mean of its divisors is an integer number (7405776).

Almost surely, 2^212940700 is an apocalyptic number.

212940700 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 212940700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266607936).

212940700 is an abundant number, since it is smaller than the sum of its proper divisors (320275172).

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

212940700 is a wasteful number, since it uses less digits than its factorization.

212940700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 212940700 is about 14592.4877933819. The cubic root of 212940700 is about 597.1538350714.

Adding to 212940700 its reverse (7049212), we get a palindrome (219989912).

The spelling of 212940700 in words is "two hundred twelve million, nine hundred forty thousand, seven hundred".