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12221023331440 = 24571117911083421
BaseRepresentation
bin1011000111010110110111…
…0000010010010001110000
31121021022121010110200101001
42301311231300102101300
53100212123433101230
641554132143051344
72400640231230010
oct261655560222160
947238533420331
1012221023331440
1139919a8084090
121454623ba0b54
136a858c402441
14303701c47c40
15162d6bda00ca
hexb1d6dc12470

12221023331440 has 160 divisors (see below), whose sum is σ = 35623004981760. Its totient is φ = 3787869619200.

The previous prime is 12221023331401. The next prime is 12221023331459. The reversal of 12221023331440 is 4413332012221.

It is a super-2 number, since 2×122210233314402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12221023331399 and 12221023331408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4439071 + ... + 6644350.

It is an arithmetic number, because the mean of its divisors is an integer number (222643781136).

Almost surely, 212221023331440 is an apocalyptic number.

12221023331440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221023331440 is an abundant number, since it is smaller than the sum of its proper divisors (23401981650320).

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

12221023331440 is a wasteful number, since it uses less digits than its factorization.

12221023331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11083631 (or 11083625 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12221023331440 its reverse (4413332012221), we get a palindrome (16634355343661).

The spelling of 12221023331440 in words is "twelve trillion, two hundred twenty-one billion, twenty-three million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 179 220 280 308 358 385 440 560 616 716 770 880 895 1232 1253 1432 1540 1790 1969 2506 2864 3080 3580 3938 5012 6160 6265 7160 7876 9845 10024 12530 13783 14320 15752 19690 20048 25060 27566 31504 39380 50120 55132 68915 78760 100240 110264 137830 157520 220528 275660 551320 1102640 11083421 22166842 44333684 55417105 77583947 88667368 110834210 121917631 155167894 177334736 221668420 243835262 310335788 387919735 443336840 487670524 609588155 620671576 775839470 853423417 886673680 975341048 1219176310 1241343152 1551678940 1706846834 1950682096 1983932359 2438352620 3103357880 3413693668 3967864718 4267117085 4876705240 6206715760 6827387336 7935729436 8534234170 9753410480 9919661795 13654774672 13887526513 15871458872 17068468340 19839323590 21823255949 27775053026 31742917744 34136936680 39678647180 43646511898 55550106052 68273873360 69437632565 79357294360 87293023796 109116279745 111100212104 138875265130 152762791643 158714588720 174586047592 218232559490 222200424208 277750530260 305525583286 349172095184 436465118980 555501060520 611051166572 763813958215 872930237960 1111002121040 1222102333144 1527627916430 1745860475920 2444204666288 3055255832860 6110511665720 12221023331440