212002120 has 64 divisors (see below), whose sum is σ = 530245440. Its totient is φ = 75628800.

The previous prime is 212002111. The next prime is 212002123. The reversal of 212002120 is 21200212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212002097 and 212002106.

It is not an unprimeable number, because it can be changed into a prime (212002123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18775 + ... + 27865.

It is an arithmetic number, because the mean of its divisors is an integer number (8285085).

Almost surely, 2^212002120 is an apocalyptic number.

212002120 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 212002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265122720).

212002120 is an abundant number, since it is smaller than the sum of its proper divisors (318243320).

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

212002120 is a wasteful number, since it uses less digits than its factorization.

212002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9166 (or 9162 counting only the distinct ones).

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

The square root of 212002120 is about 14560.2925794779. The cubic root of 212002120 is about 596.2751833451.

212002120 divided by its sum of digits (10) gives a palindrome (21200212).

Adding to 212002120 its reverse (21200212), we get a palindrome (233202332).

The spelling of 212002120 in words is "two hundred twelve million, two thousand, one hundred twenty".