2221012000 has 48 divisors (see below), whose sum is σ = 5457036312. Its totient is φ = 888403200.

The previous prime is 2221011983. The next prime is 2221012033. The reversal of 2221012000 is 2101222.

It can be written as a sum of positive squares in 4 ways, for example, as 1201870224 + 1019141776 = 34668^2 + 31924^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273627 + ... + 281626.

Almost surely, 2^2221012000 is an apocalyptic number.

2221012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221012000 is an abundant number, since it is smaller than the sum of its proper divisors (3236024312).

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

2221012000 is an equidigital number, since it uses as much as digits as its factorization.

2221012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555278 (or 555260 counting only the distinct ones).

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

The square root of 2221012000 is about 47127.6139858576. The cubic root of 2221012000 is about 1304.7189443818.

Adding to 2221012000 its reverse (2101222), we get a palindrome (2223113222).

The spelling of 2221012000 in words is "two billion, two hundred twenty-one million, twelve thousand".