212698200 has 384 divisors, whose sum is σ = 807448320. Its totient is φ = 45619200.

The previous prime is 212698139. The next prime is 212698229. The reversal of 212698200 is 2896212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3174567 + ... + 3174633.

It is an arithmetic number, because the mean of its divisors is an integer number (2102730).

Almost surely, 2^212698200 is an apocalyptic number.

212698200 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 212698200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403724160).

212698200 is an abundant number, since it is smaller than the sum of its proper divisors (594750120).

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

212698200 is a wasteful number, since it uses less digits than its factorization.

212698200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 212698200 is about 14584.1763565859. The cubic root of 212698200 is about 596.9270664447.

The spelling of 212698200 in words is "two hundred twelve million, six hundred ninety-eight thousand, two hundred".