212442000 has 80 divisors (see below), whose sum is σ = 684932352. Its totient is φ = 56649600.

The previous prime is 212441989. The next prime is 212442001. The reversal of 212442000 is 244212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (212442001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11704 + ... + 23703.

Almost surely, 2^212442000 is an apocalyptic number.

212442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212442000 is an abundant number, since it is smaller than the sum of its proper divisors (472490352).

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

212442000 is a wasteful number, since it uses less digits than its factorization.

212442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35433 (or 35417 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 212442000 is about 14575.3902177609. The cubic root of 212442000 is about 596.6872992390.

Adding to 212442000 its reverse (244212), we get a palindrome (212686212).

The spelling of 212442000 in words is "two hundred twelve million, four hundred forty-two thousand".