212202000 has 120 divisors (see below), whose sum is σ = 741213720. Its totient is φ = 56582400.

The previous prime is 212201989. The next prime is 212202017. The reversal of 212202000 is 202212.

It can be written as a sum of positive squares in 4 ways, for example, as 52533504 + 159668496 = 7248^2 + 12636^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12106 + ... + 23894.

It is an arithmetic number, because the mean of its divisors is an integer number (6176781).

Almost surely, 2^212202000 is an apocalyptic number.

212202000 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 212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370606860).

212202000 is an abundant number, since it is smaller than the sum of its proper divisors (529011720).

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

212202000 is a wasteful number, since it uses less digits than its factorization.

212202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11818 (or 11799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 212202000 is about 14567.1548354509. The cubic root of 212202000 is about 596.4625180237.

Adding to 212202000 its reverse (202212), we get a palindrome (212404212).

It can be divided in two parts, 21220 and 2000, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 212202000 in words is "two hundred twelve million, two hundred two thousand".