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12220195140 = 2233541551951
BaseRepresentation
bin10110110000110000…
…10110000101000100
31011112122110020022000
423120120112011010
5200011332221030
65340333105300
7611553642036
oct133030260504
934478406260
1012220195140
115200a8852a
122450628230
1311c996ccca
1483cd79c56
154b7c68860
hex2d8616144

12220195140 has 96 divisors (see below), whose sum is σ = 38945733120. Its totient is φ = 3179232000.

The previous prime is 12220195139. The next prime is 12220195177. The reversal of 12220195140 is 4159102221.

12220195140 is a `hidden beast` number, since 122 + 20 + 1 + 9 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253836 + ... + 298115.

It is an arithmetic number, because the mean of its divisors is an integer number (405684720).

Almost surely, 212220195140 is an apocalyptic number.

12220195140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220195140 is an abundant number, since it is smaller than the sum of its proper divisors (26725537980).

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

12220195140 is a wasteful number, since it uses less digits than its factorization.

12220195140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552010 (or 552002 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 12220195140 its reverse (4159102221), we get a palindrome (16379297361).

The spelling of 12220195140 in words is "twelve billion, two hundred twenty million, one hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 22140 551951 1103902 1655853 2207804 2759755 3311706 4967559 5519510 6623412 8279265 9935118 11039020 14902677 16558530 19870236 22629991 24837795 29805354 33117060 45259982 49675590 59610708 67889973 74513385 90519964 99351180 113149955 135779946 149026770 203669919 226299910 271559892 298053540 339449865 407339838 452599820 611009757 678899730 814679676 1018349595 1222019514 1357799460 2036699190 2444039028 3055048785 4073398380 6110097570 12220195140