2122012002000 has 640 divisors, whose sum is σ = 7606944124416. Its totient is φ = 504576000000.

The previous prime is 2122012001999. The next prime is 2122012002001. The reversal of 2122012002000 is 2002102212.

It is an interprime number because it is at equal distance from previous prime (2122012001999) and next prime (2122012002001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122012002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2419625562 + ... + 2419626438.

Almost surely, 2^{2122012002000} is an apocalyptic number.

2122012002000 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 2122012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803472062208).

2122012002000 is an abundant number, since it is smaller than the sum of its proper divisors (5484932122416).

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

2122012002000 is a wasteful number, since it uses less digits than its factorization.

2122012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2122012002000 its reverse (2002102212), we get a palindrome (2124014104212).

The spelling of 2122012002000 in words is "two trillion, one hundred twenty-two billion, twelve million, two thousand".