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12223102231032 = 2337117438902063
BaseRepresentation
bin1011000111011110100110…
…1010101010000111111000
31121021111222000021201111020
42301313221222222013320
53100230403132343112
641555114325102440
72401042603462530
oct261675152520770
947244860251436
1012223102231032
113992874610120
121454b04257a20
136a8831013044
1430385bda04c0
15162e3e64a48c
hexb1de9aaa1f8

12223102231032 has 128 divisors (see below), whose sum is σ = 38149261148160. Its totient is φ = 3170558401920.

The previous prime is 12223102230971. The next prime is 12223102231033. The reversal of 12223102231032 is 23013220132221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12223102230993 and 12223102231011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223102231033) 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, 3077968 + ... + 5824095.

It is an arithmetic number, because the mean of its divisors is an integer number (298041102720).

Almost surely, 212223102231032 is an apocalyptic number.

12223102231032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12223102231032 is an abundant number, since it is smaller than the sum of its proper divisors (25926158917128).

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

12223102231032 is a wasteful number, since it uses less digits than its factorization.

12223102231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902833 (or 8902829 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12223102231032 its reverse (23013220132221), we get a palindrome (35236322363253).

The spelling of 12223102231032 in words is "twelve trillion, two hundred twenty-three billion, one hundred two million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 743 924 1486 1848 2229 2972 4458 5201 5944 8173 8916 10402 15603 16346 17832 20804 24519 31206 32692 41608 49038 57211 62412 65384 98076 114422 124824 171633 196152 228844 343266 457688 686532 1373064 8902063 17804126 26706189 35608252 53412378 62314441 71216504 97922693 106824756 124628882 186943323 195845386 213649512 249257764 293768079 373886646 391690772 498515528 587536158 685458851 747773292 783381544 1175072316 1370917702 1495546584 2056376553 2350144632 2741835404 4112753106 5483670808 6614232809 8225506212 13228465618 16451012424 19842698427 26456931236 39685396854 46299629663 52913862472 72756560899 79370793708 92599259326 138898888989 145513121798 158741587416 185198518652 218269682697 277797777978 291026243596 370397037304 436539365394 509295926293 555595555956 582052487192 873078730788 1018591852586 1111191111912 1527887778879 1746157461576 2037183705172 3055775557758 4074367410344 6111551115516 12223102231032