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12211232331320 = 23511234328061477
BaseRepresentation
bin1011000110110010011000…
…1010100101011000111000
31121020101022202222100011222
42301230212022211120320
53100032100434100240
641545432424011212
72400142502135111
oct261544612453070
947211282870158
1012211232331320
113988833339850
121452751000b08
136a768bb00849
1430305376b208
15162997527eb5
hexb1b262a5638

12211232331320 has 128 divisors (see below), whose sum is σ = 32003554429440. Its totient is φ = 4148608611840.

The previous prime is 12211232331299. The next prime is 12211232331323. The reversal of 12211232331320 is 2313323211221.

It is a super-2 number, since 2×122112323313202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12211232331320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211232331323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13595579 + ... + 14465898.

It is an arithmetic number, because the mean of its divisors is an integer number (250027768980).

Almost surely, 212211232331320 is an apocalyptic number.

12211232331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211232331320 is an abundant number, since it is smaller than the sum of its proper divisors (19792322098120).

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

12211232331320 is a wasteful number, since it uses less digits than its factorization.

12211232331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28061565 (or 28061561 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12211232331320 its reverse (2313323211221), we get a palindrome (14524555542541).

The spelling of 12211232331320 in words is "twelve trillion, two hundred eleven billion, two hundred thirty-two million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 43 44 46 55 86 88 92 110 115 172 184 215 220 230 253 344 430 440 460 473 506 860 920 946 989 1012 1265 1720 1892 1978 2024 2365 2530 3784 3956 4730 4945 5060 7912 9460 9890 10120 10879 18920 19780 21758 39560 43516 54395 87032 108790 217580 435160 28061477 56122954 112245908 140307385 224491816 280614770 308676247 561229540 617352494 645413971 1122459080 1206643511 1234704988 1290827942 1543381235 2413287022 2469409976 2581655884 3086762470 3227069855 4826574044 5163311768 6033217555 6173524940 6454139710 7099553681 9653148088 12066435110 12347049880 12908279420 13273078621 14199107362 24132870220 25816558840 26546157242 27752800753 28398214724 35497768405 48265740440 53092314484 55505601506 56796429448 66365393105 70995536810 106184628968 111011203012 132730786210 138764003765 141991073620 222022406024 265461572420 277528007530 283982147240 305280808283 530923144840 555056015060 610561616566 1110112030120 1221123233132 1526404041415 2442246466264 3052808082830 6105616165660 12211232331320