212014000 has 160 divisors (see below), whose sum is σ = 584962560. Its totient is φ = 73568000.

The previous prime is 212013941. The next prime is 212014001. The reversal of 212014000 is 410212.

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

It is not an unprimeable number, because it can be changed into a prime (212014001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505791 + ... + 506209.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^212014000 is an apocalyptic number.

212014000 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 212014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

212014000 is an abundant number, since it is smaller than the sum of its proper divisors (372948560).

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

212014000 is a wasteful number, since it uses less digits than its factorization.

212014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

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

The square root of 212014000 is about 14560.7005325980. The cubic root of 212014000 is about 596.2863209961.

Adding to 212014000 its reverse (410212), we get a palindrome (212424212).

The spelling of 212014000 in words is "two hundred twelve million, fourteen thousand".