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221121222101000 = 235313731392237517
BaseRepresentation
bin110010010001101111001011…
…111001010100100000001000
31001222220222112011021202121122
4302101233023321110200020
5212440322230324213000
62102141404224254412
764401324006055514
oct6221571371244010
91058828464252548
10221121222101000
1164501a90291a21
1220972935a71408
13964c845c877a0
143c86477a75144
151a86d0ca96085
hexc91bcbe54808

221121222101000 has 512 divisors, whose sum is σ = 571549682995200. Its totient is φ = 79577916825600.

The previous prime is 221121222100997. The next prime is 221121222101047. The reversal of 221121222101000 is 101222121122.

It is a self number, because there is not a number n which added to its sum of digits gives 221121222101000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29416149242 + ... + 29416156758.

It is an arithmetic number, because the mean of its divisors is an integer number (1116307974600).

Almost surely, 2221121222101000 is an apocalyptic number.

221121222101000 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 221121222101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285774841497600).

221121222101000 is an abundant number, since it is smaller than the sum of its proper divisors (350428460894200).

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

221121222101000 is a wasteful number, since it uses less digits than its factorization.

221121222101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221121222101000 its reverse (101222121122), we get a palindrome (221222444222122).

The spelling of 221121222101000 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand".