2121265344000 has 640 divisors, whose sum is σ = 8028527569920. Its totient is φ = 491876352000.

The previous prime is 2121265343993. The next prime is 2121265344089. The reversal of 2121265344000 is 4435621212.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48554166 + ... + 48597834.

It is an arithmetic number, because the mean of its divisors is an integer number (12544574328).

Almost surely, 2^{2121265344000} is an apocalyptic number.

2121265344000 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 2121265344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014263784960).

2121265344000 is an abundant number, since it is smaller than the sum of its proper divisors (5907262225920).

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

2121265344000 is a wasteful number, since it uses less digits than its factorization.

2121265344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43739 (or 43713 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 2121265344000 in words is "two trillion, one hundred twenty-one billion, two hundred sixty-five million, three hundred forty-four thousand".