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21112121221000 = 235321112121221
BaseRepresentation
bin1001100110011100011000…
…11111000101111110001000
32202202022002000202002200121
410303032030133011332020
510231400111013033000
6112522435151313024
74306205021311105
oct463161437057610
982668060662617
1021112121221000
1167aa667045847
12244b80681b774
13ba1b31387414
1452db91499aac
15269294a4eb1a
hex13338c7c5f88

21112121221000 has 32 divisors (see below), whose sum is σ = 49402363659480. Its totient is φ = 8444848488000.

The previous prime is 21112121220977. The next prime is 21112121221001. The reversal of 21112121221000 is 12212121112.

It can be written as a sum of positive squares in 4 ways, for example, as 5588789139844 + 15523332081156 = 2364062^2 + 3939966^2 .

It is not an unprimeable number, because it can be changed into a prime (21112121221001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10556059611 + ... + 10556061610.

Almost surely, 221112121221000 is an apocalyptic number.

21112121221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112121221000 is an abundant number, since it is smaller than the sum of its proper divisors (28290242438480).

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

21112121221000 is a wasteful number, since it uses less digits than its factorization.

21112121221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21112121242 (or 21112121228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21112121221000 its reverse (12212121112), we get a palindrome (21124333342112).

The spelling of 21112121221000 in words is "twenty-one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 21112121221 42224242442 84448484884 105560606105 168896969768 211121212210 422242424420 527803030525 844484848840 1055606061050 2111212122100 2639015152625 4222424244200 5278030305250 10556060610500 21112121221000