Search a number
-
+
222111012120012 = 223243531012702069
BaseRepresentation
bin110010100000001000111111…
…111110100110010111001100
31002010102121100022211102012200
4302200020333332212113030
5213103031323100320022
62104220220151401500
764532663636315241
oct6240107776462714
91063377308742180
10222111012120012
1164853829a12aa4
1220ab2728683290
1396c1c94bc5852
143cbc3320d95c8
151aa293ccc2bac
hexca023ffa65cc

222111012120012 has 72 divisors (see below), whose sum is σ = 574515225844560. Its totient is φ = 72313824643200.

The previous prime is 222111012119963. The next prime is 222111012120029. The reversal of 222111012120012 is 210021210111222.

222111012120012 is a `hidden beast` number, since 2 + 221 + 110 + 121 + 200 + 12 = 666.

It is a super-3 number, since 3×2221110121200123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80849314 + ... + 83551382.

It is an arithmetic number, because the mean of its divisors is an integer number (7979378136730).

Almost surely, 2222111012120012 is an apocalyptic number.

It is an amenable number.

222111012120012 is an abundant number, since it is smaller than the sum of its proper divisors (352404213724548).

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

222111012120012 is a wasteful number, since it uses less digits than its factorization.

222111012120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755223 (or 2755218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222111012120012 its reverse (210021210111222), we get a palindrome (432132222231234).

The spelling of 222111012120012 in words is "two hundred twenty-two trillion, one hundred eleven billion, twelve million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 53101 106202 159303 212404 318606 477909 637212 955818 1911636 2283343 2702069 4566686 5404138 6850029 8106207 9133372 10808276 13700058 16212414 20550087 24318621 27400116 32424828 41100174 48637242 82200348 97274484 116188967 232377934 348566901 464755868 697133802 1045700703 1394267604 2091401406 4182802812 143482565969 286965131938 430447697907 573930263876 860895395814 1291343093721 1721790791628 2582686187442 5165372374884 6169750336667 12339500673334 18509251010001 24679001346668 37018502020002 55527753030003 74037004040004 111055506060006 222111012120012