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21221000120112 = 24313212697206033
BaseRepresentation
bin1001101001100111001100…
…01011001000011100110000
32210010201002222121020202120
410310303212023020130300
510240141102012320422
6113044443132114240
74320111110552622
oct464634613103460
983121088536676
1021221000120112
1168418593791a1
122468932005980
13bac193526100
1453515d80ac12
1526c0184e445c
hex134ce62c8730

21221000120112 has 120 divisors (see below), whose sum is σ = 59367258158544. Its totient is φ = 6528992550912.

The previous prime is 21221000120107. The next prime is 21221000120113. The reversal of 21221000120112 is 21102100012212.

It is a junction number, because it is equal to n+sod(n) for n = 21221000120091 and 21221000120100.

It is not an unprimeable number, because it can be changed into a prime (21221000120113) 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, 102895048 + ... + 103101080.

Almost surely, 221221000120112 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 21221000120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29683629079272).

21221000120112 is an abundant number, since it is smaller than the sum of its proper divisors (38146258038432).

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

21221000120112 is a wasteful number, since it uses less digits than its factorization.

21221000120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218767 (or 218748 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21221000120112 its reverse (21102100012212), we get a palindrome (42323100132324).

The spelling of 21221000120112 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 8112 12697 25394 38091 50788 76182 101576 152364 165061 203152 206033 304728 330122 412066 495183 609456 618099 660244 824132 990366 1236198 1320488 1648264 1980732 2145793 2472396 2640976 2678429 3296528 3961464 4291586 4944792 5356858 6437379 7922928 8035287 8583172 9889584 10713716 12874758 16070574 17166344 21427432 25749516 32141148 34332688 34819577 42854864 51499032 64282296 69639154 102998064 104458731 128564592 139278308 208917462 278556616 417834924 557113232 835669848 1671339696 2616001001 5232002002 7848003003 10464004004 15696006006 20928008008 31392012012 34008013013 41856016016 62784024024 68016026026 102024039039 125568048048 136032052052 204048078078 272064104104 408096156156 442104169169 544128208208 816192312312 884208338338 1326312507507 1632384624624 1768416676676 2652625015014 3536833353352 5305250030028 7073666706704 10610500060056 21221000120112