2121020211312 has 240 divisors, whose sum is σ = 6167073987360. Its totient is φ = 679940352000.

The previous prime is 2121020211269. The next prime is 2121020211347. The reversal of 2121020211312 is 2131120201212.

2121020211312 is a `hidden beast` number, since 2 + 121 + 0 + 20 + 211 + 312 = 666.

It is a super-2 number, since 2×2121020211312² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354623362 + ... + 354629342.

It is an arithmetic number, because the mean of its divisors is an integer number (25696141614).

Almost surely, 2^{2121020211312} 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 2121020211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083536993680).

2121020211312 is an abundant number, since it is smaller than the sum of its proper divisors (4046053776048).

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

2121020211312 is a wasteful number, since it uses less digits than its factorization.

2121020211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6792 (or 6783 counting only the distinct ones).

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

Adding to 2121020211312 its reverse (2131120201212), we get a palindrome (4252140412524).

It can be divided in two parts, 2121020 and 211312, that added together give a palindrome (2332332).

The spelling of 2121020211312 in words is "two trillion, one hundred twenty-one billion, twenty million, two hundred eleven thousand, three hundred twelve".