2221212001000 has 64 divisors (see below), whose sum is σ = 5199001076880. Its totient is φ = 888251468800.

The previous prime is 2221212000989. The next prime is 2221212001009. The reversal of 2221212001000 is 1002121222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 128022271204 + 2093189729796 = 357802^2 + 1446786^2 .

It is not an unprimeable number, because it can be changed into a prime (2221212001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3543252 + ... + 4122748.

Almost surely, 2^{2221212001000} is an apocalyptic number.

2221212001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221212001000 is an abundant number, since it is smaller than the sum of its proper divisors (2977789075880).

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

2221212001000 is a wasteful number, since it uses less digits than its factorization.

2221212001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583351 (or 583337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2221212001000 its reverse (1002121222), we get a palindrome (2222214122222).

The spelling of 2221212001000 in words is "two trillion, two hundred twenty-one billion, two hundred twelve million, one thousand".