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220221012001212 = 223237225173447841
BaseRepresentation
bin110010000100101000110011…
…001100010100000110111100
31001212201220220222011111122200
4302010220303030110012330
5212331100113033014322
62100212045233511500
764246304654344245
oct6204506314240674
91055656828144580
10220221012001212
1164195230141042
1220848383412590
1395b59a1b192a1
143c54a7a7dbccc
151a6d6c1db78ac
hexc84a333141bc

220221012001212 has 72 divisors (see below), whose sum is σ = 571968899956272. Its totient is φ = 71391300480000.

The previous prime is 220221012001153. The next prime is 220221012001219. The reversal of 220221012001212 is 212100210122022.

It is a happy number.

220221012001212 is a `hidden beast` number, since 220 + 2 + 210 + 1 + 20 + 0 + 1 + 212 = 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 (220221012001219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33725589 + ... + 39722252.

Almost surely, 2220221012001212 is an apocalyptic number.

It is an amenable number.

220221012001212 is an abundant number, since it is smaller than the sum of its proper divisors (351747887955060).

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

220221012001212 is a wasteful number, since it uses less digits than its factorization.

220221012001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73450139 (or 73450134 counting only the distinct ones).

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

Adding to 220221012001212 its reverse (212100210122022), we get a palindrome (432321222123234).

The spelling of 220221012001212 in words is "two hundred twenty trillion, two hundred twenty-one billion, twelve million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2251 4502 6753 9004 13506 20259 27012 40518 81036 83287 166574 249861 333148 499722 749583 999444 1499166 2998332 73447841 146895682 220343523 293791364 440687046 661030569 881374092 1322061138 2644122276 2717570117 5435140234 8152710351 10870280468 16305420702 24458131053 32610841404 48916262106 97832524212 165331090091 330662180182 495993270273 661324360364 991986540546 1487979810819 1983973081092 2975959621638 5951919243276 6117250333367 12234500666734 18351751000101 24469001333468 36703502000202 55055253000303 73407004000404 110110506000606 220221012001212