212200120 has 96 divisors (see below), whose sum is σ = 555886800. Its totient is φ = 72596480.

The previous prime is 212200111. The next prime is 212200127. The reversal of 212200120 is 21002212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 212200097 and 212200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200127) 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, 80991 + ... + 83569.

Almost surely, 2^212200120 is an apocalyptic number.

212200120 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 212200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277943400).

212200120 is an abundant number, since it is smaller than the sum of its proper divisors (343686680).

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

212200120 is a wasteful number, since it uses less digits than its factorization.

212200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 212200120 is about 14567.0903065780. The cubic root of 212200120 is about 596.4607565686.

Adding to 212200120 its reverse (21002212), we get a palindrome (233202332).

The spelling of 212200120 in words is "two hundred twelve million, two hundred thousand, one hundred twenty".