2012121211320 has 576 divisors, whose sum is σ = 7404200163360. Its totient is φ = 473189713920.

The previous prime is 2012121211271. The next prime is 2012121211327. The reversal of 2012121211320 is 231121212102.

2012121211320 is a `hidden beast` number, since 2 + 0 + 12 + 121 + 211 + 320 = 666.

It is a super-2 number, since 2×2012121211320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2012121211293 and 2012121211302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012121211327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 601169887 + ... + 601173233.

Almost surely, 2^{2012121211320} is an apocalyptic number.

2012121211320 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 2012121211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702100081680).

2012121211320 is an abundant number, since it is smaller than the sum of its proper divisors (5392078952040).

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

2012121211320 is a wasteful number, since it uses less digits than its factorization.

2012121211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2012121211320 its reverse (231121212102), we get a palindrome (2243242423422).

The spelling of 2012121211320 in words is "two trillion, twelve billion, one hundred twenty-one million, two hundred eleven thousand, three hundred twenty".