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12223405040 = 2457111984319
BaseRepresentation
bin10110110001001001…
…00101101111110000
31011112212111022110012
423120210211233300
5200013142430130
65340525554052
7611623141250
oct133044455760
934485438405
1012223405040
115202880140
122451715928
1311ca525062
1483d573960
154b819e995
hex2d8925bf0

12223405040 has 80 divisors (see below), whose sum is σ = 35432017920. Its totient is φ = 3809890560.

The previous prime is 12223405003. The next prime is 12223405057. The reversal of 12223405040 is 4050432221.

It is a happy number.

12223405040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12223404997 and 12223405015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986000 + ... + 998319.

It is an arithmetic number, because the mean of its divisors is an integer number (442900224).

Almost surely, 212223405040 is an apocalyptic number.

12223405040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223405040 is an abundant number, since it is smaller than the sum of its proper divisors (23208612880).

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

12223405040 is a wasteful number, since it uses less digits than its factorization.

12223405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984350 (or 1984344 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 12223405040 its reverse (4050432221), we get a palindrome (16273837261).

The spelling of 12223405040 in words is "twelve billion, two hundred twenty-three million, four hundred five thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 1984319 3968638 7937276 9921595 13890233 15874552 19843190 21827509 27780466 31749104 39686380 43655018 55560932 69451165 79372760 87310036 109137545 111121864 138902330 152792563 158745520 174620072 218275090 222243728 277804660 305585126 349240144 436550180 555609320 611170252 763962815 873100360 1111218640 1222340504 1527925630 1746200720 2444681008 3055851260 6111702520 12223405040