2012012144 has 80 divisors (see below), whose sum is σ = 4196100480. Its totient is φ = 931772160.

The previous prime is 2012012063. The next prime is 2012012153. The reversal of 2012012144 is 4412102102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3523379 + ... + 3523949.

It is an arithmetic number, because the mean of its divisors is an integer number (52451256).

Almost surely, 2^2012012144 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 2012012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098050240).

2012012144 is an abundant number, since it is smaller than the sum of its proper divisors (2184088336).

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

2012012144 is a wasteful number, since it uses less digits than its factorization.

2012012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2012012144 is about 44855.4583523566. The cubic root of 2012012144 is about 1262.4384089680.

Adding to 2012012144 its reverse (4412102102), we get a palindrome (6424114246).

The spelling of 2012012144 in words is "two billion, twelve million, twelve thousand, one hundred forty-four".