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221000211222012 = 223237220375313697
BaseRepresentation
bin110010001111111110011111…
…000101011100110111111100
31001222111102011200222011211200
4302033332133011130313330
5212431331413033101022
62102010032341215500
764356511153422165
oct6217763705346774
91058442150864750
10221000211222012
1164465732853522
12209533a3701590
1396412cc524591
143c8067838c76c
151a83ac8eb0bac
hexc8ff9f15cdfc

221000211222012 has 72 divisors (see below), whose sum is σ = 573998227975536. Its totient is φ = 71643207711744.

The previous prime is 221000211221989. The next prime is 221000211222019. The reversal of 221000211222012 is 210222112000122.

It is a happy number.

221000211222012 is a `hidden beast` number, since 221 + 0 + 0 + 0 + 211 + 2 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000211222019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34722453 + ... + 40591244.

Almost surely, 2221000211222012 is an apocalyptic number.

It is an amenable number.

221000211222012 is an abundant number, since it is smaller than the sum of its proper divisors (352998016753524).

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

221000211222012 is a wasteful number, since it uses less digits than its factorization.

221000211222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75315947 (or 75315942 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221000211222012 its reverse (210222112000122), we get a palindrome (431222323222134).

The spelling of 221000211222012 in words is "two hundred twenty-one trillion, two hundred eleven million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2203 4406 6609 8812 13218 19827 26436 39654 79308 81511 163022 244533 326044 489066 733599 978132 1467198 2934396 75313697 150627394 225941091 301254788 451882182 677823273 903764364 1355646546 2711293092 2786606789 5573213578 8359820367 11146427156 16719640734 25079461101 33439281468 50158922202 100317844404 165916074491 331832148982 497748223473 663664297964 995496446946 1493244670419 1990992893892 2986489340838 5972978681676 6138894756167 12277789512334 18416684268501 24555579024668 36833368537002 55250052805503 73666737074004 110500105611006 221000211222012