2012007221000 has 128 divisors (see below), whose sum is σ = 5381317244160. Its totient is φ = 689749632000.

The previous prime is 2012007220933. The next prime is 2012007221023. The reversal of 2012007221000 is 1227002102.

It is a super-2 number, since 2×2012007221000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2012007221000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115022255 + ... + 115039745.

It is an arithmetic number, because the mean of its divisors is an integer number (42041540970).

Almost surely, 2^{2012007221000} is an apocalyptic number.

2012007221000 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 2012007221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690658622080).

2012007221000 is an abundant number, since it is smaller than the sum of its proper divisors (3369310023160).

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

2012007221000 is a wasteful number, since it uses less digits than its factorization.

2012007221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33952 (or 33938 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The spelling of 2012007221000 in words is "two trillion, twelve billion, seven million, two hundred twenty-one thousand".