2012222221200 has 90 divisors (see below), whose sum is σ = 6982970070674. Its totient is φ = 536592591360.

The previous prime is 2012222221199. The next prime is 2012222221231. The reversal of 2012222221200 is 21222222102.

2012222221200 is a `hidden beast` number, since 20 + 1 + 2 + 222 + 221 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 201238371216 + 1810983849984 = 448596^2 + 1345728^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 279471709 + ... + 279478908.

Almost surely, 2^{2012222221200} is an apocalyptic number.

2012222221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012222221200 is an abundant number, since it is smaller than the sum of its proper divisors (4970747849474).

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

2012222221200 is a wasteful number, since it uses less digits than its factorization.

2012222221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558950641 (or 558950627 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2012222221200 its reverse (21222222102), we get a palindrome (2033444443302).

The spelling of 2012222221200 in words is "two trillion, twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred".