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12205202040 = 2333517896317
BaseRepresentation
bin10110101110111110…
…01001101001111000
31011111121020111122000
423113133021221320
5144444012431130
65335035501000
7611312335263
oct132737115170
934447214560
1012205202040
1151a3577a39
1224475b7760
1311c6820855
1483ad95cda
154b67a6260
hex2d77c9a78

12205202040 has 128 divisors (see below), whose sum is σ = 40713192000. Its totient is φ = 3252386304.

The previous prime is 12205202033. The next prime is 12205202047. The reversal of 12205202040 is 4020250221.

12205202040 is a `hidden beast` number, since 122 + 0 + 520 + 20 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12205202033) and next prime (12205202047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205202047) 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, 1928962 + ... + 1935278.

Almost surely, 212205202040 is an apocalyptic number.

12205202040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12205202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356596000).

12205202040 is an abundant number, since it is smaller than the sum of its proper divisors (28507989960).

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

12205202040 is a wasteful number, since it uses less digits than its factorization.

12205202040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12205202040 its reverse (4020250221), we get a palindrome (16225452261).

The spelling of 12205202040 in words is "twelve billion, two hundred five million, two hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1789 3578 5367 6317 7156 8945 10734 12634 14312 16101 17890 18951 21468 25268 26835 31585 32202 35780 37902 42936 48303 50536 53670 56853 63170 64404 71560 75804 80505 94755 96606 107340 113706 126340 128808 151608 161010 170559 189510 193212 214680 227412 241515 252680 284265 322020 341118 379020 386424 454824 483030 568530 644040 682236 758040 852795 966060 1137060 1364472 1705590 1932120 2274120 3411180 6822360 11301113 22602226 33903339 45204452 56505565 67806678 90408904 101710017 113011130 135613356 169516695 203420034 226022260 271226712 305130051 339033390 406840068 452044520 508550085 610260102 678066780 813680136 1017100170 1220520204 1356133560 1525650255 2034200340 2441040408 3051300510 4068400680 6102601020 12205202040