2021112240000 has 640 divisors, whose sum is σ = 7699096500480. Its totient is φ = 460032000000.

The previous prime is 2021112239963. The next prime is 2021112240011. The reversal of 2021112240000 is 422111202.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 421677604 + ... + 421682396.

It is an arithmetic number, because the mean of its divisors is an integer number (12029838282).

Almost surely, 2^{2021112240000} is an apocalyptic number.

2021112240000 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 2021112240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849548250240).

2021112240000 is an abundant number, since it is smaller than the sum of its proper divisors (5677984260480).

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

2021112240000 is an equidigital number, since it uses as much as digits as its factorization.

2021112240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5061 counting only the distinct ones).

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

Adding to 2021112240000 its reverse (422111202), we get a palindrome (2021534351202).

The spelling of 2021112240000 in words is "two trillion, twenty-one billion, one hundred twelve million, two hundred forty thousand".