2012222212000 has 384 divisors, whose sum is σ = 6638151356928. Its totient is φ = 578939904000.

The previous prime is 2012222211977. The next prime is 2012222212001. The reversal of 2012222212000 is 2122222102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2012222212001) 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 63 ways as a sum of consecutive naturals, for example, 3752724 + ... + 4255276.

It is an arithmetic number, because the mean of its divisors is an integer number (17286852492).

Almost surely, 2^{2012222212000} is an apocalyptic number.

2012222212000 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 2012222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319075678464).

2012222212000 is an abundant number, since it is smaller than the sum of its proper divisors (4625929144928).

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

2012222212000 is a wasteful number, since it uses less digits than its factorization.

2012222212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502609 (or 502591 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2012222212000 its reverse (2122222102), we get a palindrome (2014344434102).

It can be divided in two parts, 2012222 and 212000, that added together give a palindrome (2224222).

The spelling of 2012222212000 in words is "two trillion, twelve billion, two hundred twenty-two million, two hundred twelve thousand".