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222121121010012 = 22357201716185259
BaseRepresentation
bin110010100000010010011010…
…100000111101000101011100
31002010110120102211111020100000
4302200102122200331011130
5213103213023434310022
62104225011224134300
764533502305416610
oct6240223240750534
91063416384436300
10222121121010012
1164858047140744
1220ab468a007390
1396c2c1631a073
143cbca108c5340
151aa2d304de6ac
hexca049a83d15c

222121121010012 has 144 divisors (see below), whose sum is σ = 665779245797120. Its totient is φ = 63431709368832.

The previous prime is 222121121009987. The next prime is 222121121010013. The reversal of 222121121010012 is 210010121121222.

222121121010012 is a `hidden beast` number, since 2 + 221 + 211 + 210 + 10 + 0 + 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 (222121121010013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5631039 + ... + 21816297.

Almost surely, 2222121121010012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222121121010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332889622898560).

222121121010012 is an abundant number, since it is smaller than the sum of its proper divisors (443658124787108).

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

222121121010012 is a wasteful number, since it uses less digits than its factorization.

222121121010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16187302 (or 16187288 counting only the distinct ones).

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

Adding to 222121121010012 its reverse (210010121121222), we get a palindrome (432131242131234).

It can be divided in two parts, 2221211210 and 10012, that added together give a palindrome (2221221222).

The spelling of 222121121010012 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2017 2268 3402 4034 6051 6804 8068 12102 14119 18153 24204 28238 36306 42357 54459 56476 72612 84714 108918 127071 163377 169428 217836 254142 326754 381213 490131 508284 653508 762426 980262 1143639 1524852 1960524 2287278 3430917 4574556 6861834 13723668 16185259 32370518 48555777 64741036 97111554 113296813 145667331 194223108 226593626 291334662 339890439 437001993 453187252 582669324 679780878 874003986 1019671317 1311005979 1359561756 1748007972 2039342634 2622011958 3059013951 3933017937 4078685268 5244023916 6118027902 7866035874 9177041853 12236055804 15732071748 18354083706 27531125559 32645667403 36708167412 55062251118 65291334806 97937002209 110124502236 130582669612 195874004418 228519671821 293811006627 391748008836 457039343642 587622013254 685559015463 881433019881 914078687284 1175244026508 1371118030926 1762866039762 2056677046389 2644299059643 2742236061852 3525732079524 4113354092778 5288598119286 6170031139167 7932897178929 8226708185556 10577196238572 12340062278334 15865794357858 18510093417501 24680124556668 31731588715716 37020186835002 55530280252503 74040373670004 111060560505006 222121121010012