2001000122212 has 144 divisors (see below), whose sum is σ = 4474915597488. Its totient is φ = 775799700480.

The previous prime is 2001000122161. The next prime is 2001000122237. The reversal of 2001000122212 is 2122210001002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1056422174976 + 944577947236 = 1027824^2 + 971894^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2001000122192 and 2001000122201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43030318 + ... + 43076794.

Almost surely, 2^{2001000122212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001000122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237457798744).

2001000122212 is an abundant number, since it is smaller than the sum of its proper divisors (2473915475276).

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

2001000122212 is a wasteful number, since it uses less digits than its factorization.

2001000122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46846 (or 46837 counting only the distinct ones).

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

Adding to 2001000122212 its reverse (2122210001002), we get a palindrome (4123210123214).

It can be divided in two parts, 2001000 and 122212, that added together give a palindrome (2123212).

The spelling of 2001000122212 in words is "two trillion, one billion, one hundred twenty-two thousand, two hundred twelve".