212050000 has 60 divisors (see below), whose sum is σ = 513646812. Its totient is φ = 84800000.

The previous prime is 212049989. The next prime is 212050019. The reversal of 212050000 is 50212.

It can be written as a sum of positive squares in 6 ways, for example, as 111007296 + 101042704 = 10536^2 + 10052^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47880 + ... + 52120.

Almost surely, 2^212050000 is an apocalyptic number.

212050000 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 212050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256823406).

212050000 is an abundant number, since it is smaller than the sum of its proper divisors (301596812).

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

212050000 is an frugal number, since it uses more digits than its factorization.

212050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 212050000 is about 14561.9366843837. The cubic root of 212050000 is about 596.3200689131.

The spelling of 212050000 in words is "two hundred twelve million, fifty thousand".