2012012220120 has 256 divisors, whose sum is σ = 7079823360000. Its totient is φ = 457228574208.

The previous prime is 2012012220061. The next prime is 2012012220121. The reversal of 2012012220120 is 210222102102.

It is a super-2 number, since 2×2012012220120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2012012220120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012012220121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6979401 + ... + 7261959.

It is an arithmetic number, because the mean of its divisors is an integer number (27655560000).

Almost surely, 2^{2012012220120} is an apocalyptic number.

2012012220120 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 2012012220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539911680000).

2012012220120 is an abundant number, since it is smaller than the sum of its proper divisors (5067811139880).

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

2012012220120 is a wasteful number, since it uses less digits than its factorization.

2012012220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282767 (or 282749 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2012012220120 its reverse (210222102102), we get a palindrome (2222234322222).

The spelling of 2012012220120 in words is "two trillion, twelve billion, twelve million, two hundred twenty thousand, one hundred twenty".