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12204400560 = 2435114622879
BaseRepresentation
bin10110101110111000…
…00101111110110000
31011111112201210012120
423113130011332300
5144443311304220
65335010354240
7611302456512
oct132734057660
934445653176
1012204400560
1151a307a860
12244728b980
1311c65ccac1
1483ac27bb2
154b6698a40
hex2d7705fb0

12204400560 has 80 divisors (see below), whose sum is σ = 41273072640. Its totient is φ = 2958641920.

The previous prime is 12204400547. The next prime is 12204400561. The reversal of 12204400560 is 6500440221.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 12204400560.

It is not an unprimeable number, because it can be changed into a prime (12204400561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2308800 + ... + 2314079.

It is an arithmetic number, because the mean of its divisors is an integer number (515913408).

Almost surely, 212204400560 is an apocalyptic number.

12204400560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12204400560 is an abundant number, since it is smaller than the sum of its proper divisors (29068672080).

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

12204400560 is a wasteful number, since it uses less digits than its factorization.

12204400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622906 (or 4622900 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12204400560 its reverse (6500440221), we get a palindrome (18704840781).

The spelling of 12204400560 in words is "twelve billion, two hundred four million, four hundred thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4622879 9245758 13868637 18491516 23114395 27737274 36983032 46228790 50851669 55474548 69343185 73966064 92457580 101703338 110949096 138686370 152555007 184915160 203406676 221898192 254258345 277372740 305110014 369830320 406813352 508516690 554745480 610220028 762775035 813626704 1017033380 1109490960 1220440056 1525550070 2034066760 2440880112 3051100140 4068133520 6102200280 12204400560