212681700 has 540 divisors, whose sum is σ = 893998336. Its totient is φ = 42768000.

The previous prime is 212681699. The next prime is 212681717. The reversal of 212681700 is 7186212.

212681700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6860685 + ... + 6860715.

Almost surely, 2^212681700 is an apocalyptic number.

212681700 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 212681700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446999168).

212681700 is an abundant number, since it is smaller than the sum of its proper divisors (681316636).

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

212681700 is a wasteful number, since it uses less digits than its factorization.

212681700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 212681700 is about 14583.6106640297. The cubic root of 212681700 is about 596.9116305653.

The spelling of 212681700 in words is "two hundred twelve million, six hundred eighty-one thousand, seven hundred".