221212000 has 96 divisors (see below), whose sum is σ = 562554720. Its totient is φ = 85388800.

The previous prime is 221211989. The next prime is 221212009. The reversal of 221212000 is 212122.

221212000 = 28³ + 29³ + ... + 172³.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115047 + ... + 116953.

It is an arithmetic number, because the mean of its divisors is an integer number (5859945).

Almost surely, 2^221212000 is an apocalyptic number.

221212000 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 221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281277360).

221212000 is an abundant number, since it is smaller than the sum of its proper divisors (341342720).

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

221212000 is a wasteful number, since it uses less digits than its factorization.

221212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1943 counting only the distinct ones).

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

The square root of 221212000 is about 14873.1973697655. The cubic root of 221212000 is about 604.7876221070.

Adding to 221212000 its reverse (212122), we get a palindrome (221424122).

The spelling of 221212000 in words is "two hundred twenty-one million, two hundred twelve thousand".