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21120012122244 = 22372415471601569
BaseRepresentation
bin1001100110101011000101…
…10100011111100010000100
32202210001102221212102020020
410303111202310133202010
510232012241100402434
6112530222152535140
74306604406002100
oct463254264374204
982701387772206
1021120012122244
116802a46277732
1224512493b14b0
13ba27bb11c459
145302dd484900
152695a7699849
hex133562d1f884

21120012122244 has 144 divisors (see below), whose sum is σ = 58831329251520. Its totient is φ = 5876345180160.

The previous prime is 21120012122221. The next prime is 21120012122257. The reversal of 21120012122244 is 44222121002112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12386292 + ... + 13987860.

It is an arithmetic number, because the mean of its divisors is an integer number (408550897580).

Almost surely, 221120012122244 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 21120012122244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29415664625760).

21120012122244 is an abundant number, since it is smaller than the sum of its proper divisors (37711317129276).

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

21120012122244 is a wasteful number, since it uses less digits than its factorization.

21120012122244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602178 (or 1602169 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 21120012122244 its reverse (44222121002112), we get a palindrome (65342133124356).

The spelling of 21120012122244 in words is "twenty-one trillion, one hundred twenty billion, twelve million, one hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 547 574 588 861 1094 1148 1641 1722 2009 2188 3282 3444 3829 4018 6027 6564 7658 8036 11487 12054 15316 22427 22974 24108 26803 44854 45948 53606 67281 80409 89708 107212 134562 156989 160818 269124 313978 321636 470967 627956 941934 1098923 1601569 1883868 2197846 3203138 3296769 4395692 4804707 6406276 6593538 9609414 11210983 13187076 19218828 22421966 33632949 44843932 65664329 67265898 78476881 131328658 134531796 156953762 196992987 235430643 262657316 313907524 393985974 459650303 470861286 787971948 876058243 919300606 941722572 1378950909 1752116486 1838601212 2628174729 2757901818 3217552121 3504232972 5256349458 5515803636 6132407701 6435104242 9652656363 10512698916 12264815402 12870208484 18397223103 19305312726 24529630804 35918387963 36794446206 38610625452 42926853907 71836775926 73588892412 85853707814 107755163889 128780561721 143673551852 171707415628 215510327778 251428715741 257561123442 431020655556 502857431482 515122246884 754286147223 1005714862964 1508572294446 1760001010187 3017144588892 3520002020374 5280003030561 7040004040748 10560006061122 21120012122244