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12203034431140 = 2257196173743173
BaseRepresentation
bin1011000110010011110110…
…0010000100111010100100
31121012121011110011212021101
42301210331202010322210
53044413303303244030
641541555134325444
72366432366134360
oct261447542047244
947177143155241
1012203034431140
113985306893033
121451043659884
136a698358a137
143028b6aaa2a0
1516266798a7ca
hexb193d884ea4

12203034431140 has 96 divisors (see below), whose sum is σ = 30833754174720. Its totient is φ = 3963044952576.

The previous prime is 12203034431089. The next prime is 12203034431191. The reversal of 12203034431140 is 4113443030221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12203034431089) and next prime (12203034431191).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12203034431099 and 12203034431108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16048594 + ... + 16791766.

It is an arithmetic number, because the mean of its divisors is an integer number (321184939320).

Almost surely, 212203034431140 is an apocalyptic number.

12203034431140 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 12203034431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416877087360).

12203034431140 is an abundant number, since it is smaller than the sum of its proper divisors (18630719743580).

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

12203034431140 is a wasteful number, since it uses less digits than its factorization.

12203034431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749381 (or 749379 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12203034431140 its reverse (4113443030221), we get a palindrome (16316477461361).

The spelling of 12203034431140 in words is "twelve trillion, two hundred three billion, thirty-four million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 6173 12346 24692 30865 43211 61730 86422 117287 123460 172844 216055 234574 432110 469148 586435 743173 821009 864220 1172870 1486346 1642018 2345740 2972692 3284036 3715865 4105045 5202211 7431730 8210090 10404422 14120287 14863460 16420180 20808844 26011055 28240574 52022110 56481148 70601435 98842009 104044220 141202870 197684018 282405740 395368036 494210045 988420090 1976840180 4587606929 9175213858 18350427716 22938034645 32113248503 45876069290 64226497006 87164531651 91752138580 128452994012 160566242515 174329063302 321132485030 348658126604 435822658255 610151721557 642264970060 871645316510 1220303443114 1743290633020 2440606886228 3050758607785 6101517215570 12203034431140