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12202011011120 = 2457217917389709
BaseRepresentation
bin1011000110010000000010…
…0010000010100000110000
31121012111112010102201221012
42301210000202002200300
53044404204304323440
641541305415050052
72366365131201500
oct261440042024060
947174463381835
1012202011011120
113984931123467
1214509b8970928
136a684c53cc68
1430281abc3a00
15162607bcee65
hexb1900882830

12202011011120 has 120 divisors (see below), whose sum is σ = 33185826975600. Its totient is φ = 4160174624256.

The previous prime is 12202011011089. The next prime is 12202011011123. The reversal of 12202011011120 is 2111011020221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12202011011095 and 12202011011104.

It is not an unprimeable number, because it can be changed into a prime (12202011011123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7993175 + ... + 9396534.

It is an arithmetic number, because the mean of its divisors is an integer number (276548558130).

Almost surely, 212202011011120 is an apocalyptic number.

12202011011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202011011120 is an abundant number, since it is smaller than the sum of its proper divisors (20983815964480).

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

12202011011120 is a wasteful number, since it uses less digits than its factorization.

12202011011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17389915 (or 17389902 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12202011011120 its reverse (2111011020221), we get a palindrome (14313022031341).

The spelling of 12202011011120 in words is "twelve trillion, two hundred two billion, eleven million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 179 196 245 280 358 392 490 560 716 784 895 980 1253 1432 1790 1960 2506 2864 3580 3920 5012 6265 7160 8771 10024 12530 14320 17542 20048 25060 35084 43855 50120 70168 87710 100240 140336 175420 350840 701680 17389709 34779418 69558836 86948545 121727963 139117672 173897090 243455926 278235344 347794180 486911852 608639815 695588360 852095741 973823704 1217279630 1391176720 1704191482 1947647408 2434559260 3112757911 3408382964 4260478705 4869118520 6225515822 6816765928 8520957410 9738237040 12451031644 13633531856 15563789555 17041914820 21789305377 24902063288 31127579110 34083829640 43578610754 49804126576 62255158220 68167659280 87157221508 108946526885 124510316440 152525137639 174314443016 217893053770 249020632880 305050275278 348628886032 435786107540 610100550556 762625688195 871572215080 1220201101112 1525251376390 1743144430160 2440402202224 3050502752780 6101005505560 12202011011120