2012122011000 has 256 divisors, whose sum is σ = 6314076288000. Its totient is φ = 533474035200.

The previous prime is 2012122010993. The next prime is 2012122011007. The reversal of 2012122011000 is 1102212102.

It is an interprime number because it is at equal distance from previous prime (2012122010993) and next prime (2012122011007).

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 (2012122011007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631351407 + ... + 631354593.

It is an arithmetic number, because the mean of its divisors is an integer number (24664360500).

Almost surely, 2^{2012122011000} is an apocalyptic number.

2012122011000 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 2012122011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157038144000).

2012122011000 is an abundant number, since it is smaller than the sum of its proper divisors (4301954277000).

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

2012122011000 is a wasteful number, since it uses less digits than its factorization.

2012122011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2012122011000 its reverse (1102212102), we get a palindrome (2013224223102).

The spelling of 2012122011000 in words is "two trillion, twelve billion, one hundred twenty-two million, eleven thousand".