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12205100040 = 2335714529881
BaseRepresentation
bin10110101110111101…
…10000110000001000
31011111121001022201020
423113132300300020
5144444001200130
65335033352440
7611311432020
oct132736606010
934447038636
1012205100040
1151a3508341
122447568720
1311c67b62b3
1483ad6aa80
154b6785e10
hex2d77b0c08

12205100040 has 64 divisors (see below), whose sum is σ = 41846060160. Its totient is φ = 2789736960.

The previous prime is 12205100021. The next prime is 12205100057. The reversal of 12205100040 is 4000150221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 12205099992 and 12205100019.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7264101 + ... + 7265780.

It is an arithmetic number, because the mean of its divisors is an integer number (653844690).

Almost surely, 212205100040 is an apocalyptic number.

12205100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12205100040 is an abundant number, since it is smaller than the sum of its proper divisors (29640960120).

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

12205100040 is a wasteful number, since it uses less digits than its factorization.

12205100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14529902 (or 14529898 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 12205100040 its reverse (4000150221), we get a palindrome (16205250261).

The spelling of 12205100040 in words is "twelve billion, two hundred five million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 14529881 29059762 43589643 58119524 72649405 87179286 101709167 116239048 145298810 174358572 203418334 217948215 290597620 305127501 348717144 406836668 435896430 508545835 581195240 610255002 813673336 871792860 1017091670 1220510004 1525637505 1743585720 2034183340 2441020008 3051275010 4068366680 6102550020 12205100040