2121112822840 has 192 divisors, whose sum is σ = 5583208085280. Its totient is φ = 722175590400.

The previous prime is 2121112822799. The next prime is 2121112822841. The reversal of 2121112822840 is 482282111212.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2121112822796 and 2121112822805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121112822841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15813255 + ... + 15946825.

Almost surely, 2^{2121112822840} is an apocalyptic number.

2121112822840 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 2121112822840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791604042640).

2121112822840 is an abundant number, since it is smaller than the sum of its proper divisors (3462095262440).

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

2121112822840 is a wasteful number, since it uses less digits than its factorization.

2121112822840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133814 (or 133799 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The spelling of 2121112822840 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, eight hundred twenty-two thousand, eight hundred forty".