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12455405421140 = 22511295933089117
BaseRepresentation
bin1011010101000000000000…
…0001000000001001010100
31122002201120121201111020002
42311100000001000021110
53113032132241434030
642253533444430432
72423605362144413
oct265200001001124
948081517644202
1012455405421140
113a72342715150
121491b360a8418
136c4702918496
14310bb834947a
15168ed89ea245
hexb5400040254

12455405421140 has 96 divisors (see below), whose sum is σ = 30018447849600. Its totient is φ = 4298937950720.

The previous prime is 12455405421097. The next prime is 12455405421143. The reversal of 12455405421140 is 4112450455421.

It is a super-3 number, since 3×124554054211403 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12455405421094 and 12455405421103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12455405421143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16168139 + ... + 16920978.

It is an arithmetic number, because the mean of its divisors is an integer number (312692165100).

Almost surely, 212455405421140 is an apocalyptic number.

12455405421140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12455405421140 is an abundant number, since it is smaller than the sum of its proper divisors (17563042428460).

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

12455405421140 is a wasteful number, since it uses less digits than its factorization.

12455405421140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33089225 (or 33089223 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 38.

Adding to 12455405421140 its reverse (4112450455421), we get a palindrome (16567855876561).

The spelling of 12455405421140 in words is "twelve trillion, four hundred fifty-five billion, four hundred five million, four hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 59 110 116 118 145 220 236 290 295 319 580 590 638 649 1180 1276 1298 1595 1711 2596 3190 3245 3422 6380 6490 6844 8555 12980 17110 18821 34220 37642 75284 94105 188210 376420 33089117 66178234 132356468 165445585 330891170 363980287 661782340 727960574 959584393 1455921148 1819901435 1919168786 1952257903 3639802870 3838337572 3904515806 4797921965 7279605740 7809031612 9595843930 9761289515 10555428323 19191687860 19522579030 21110856646 21474836933 39045158060 42221713292 42949673866 52777141615 56615479187 85899347732 105554283230 107374184665 113230958374 211108566460 214748369330 226461916748 283077395935 429496738660 566154791870 622770271057 1132309583740 1245540542114 2491081084228 3113851355285 6227702710570 12455405421140