2021229568512 has 960 divisors, whose sum is σ = 7728399993600. Its totient is φ = 493098762240.

The previous prime is 2021229568459. The next prime is 2021229568517. The reversal of 2021229568512 is 2158659221202.

2021229568512 is a `hidden beast` number, since 2 + 0 + 2 + 12 + 29 + 568 + 51 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2021229568517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380714914 + ... + 380720222.

It is an arithmetic number, because the mean of its divisors is an integer number (8050416660).

Almost surely, 2^{2021229568512} is an apocalyptic number.

2021229568512 is a gapful number since it is divisible by the number (22) 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 2021229568512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864199996800).

2021229568512 is an abundant number, since it is smaller than the sum of its proper divisors (5707170425088).

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

2021229568512 is a wasteful number, since it uses less digits than its factorization.

2021229568512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2021229568512 in words is "two trillion, twenty-one billion, two hundred twenty-nine million, five hundred sixty-eight thousand, five hundred twelve".