2122221001200 has 60 divisors (see below), whose sum is σ = 6798181277688. Its totient is φ = 565925600000.

The previous prime is 2122221001189. The next prime is 2122221001247. The reversal of 2122221001200 is 21001222212.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2122221001200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 884257551 + ... + 884259950.

Almost surely, 2^{2122221001200} is an apocalyptic number.

2122221001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122221001200 is an abundant number, since it is smaller than the sum of its proper divisors (4675960276488).

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

2122221001200 is a wasteful number, since it uses less digits than its factorization.

2122221001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768517522 (or 1768517511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2122221001200 its reverse (21001222212), we get a palindrome (2143222223412).

The spelling of 2122221001200 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-one million, one thousand, two hundred".