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12241083780 = 22325971514643
BaseRepresentation
bin10110110011010000…
…00001110110000100
31011121002202111010100
423121220001312010
5200032204140110
65342400524100
7612226331622
oct133150016604
934532674110
1012241083780
115211855472
122457620630
1312010a4a53
14841a56512
154b99e2bc0
hex2d9a01d84

12241083780 has 144 divisors (see below), whose sum is σ = 37770655104. Its totient is φ = 3208550400.

The previous prime is 12241083761. The next prime is 12241083791. The reversal of 12241083780 is 8738014221.

It is a super-3 number, since 3×122410837803 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2634139 + ... + 2638781.

It is an arithmetic number, because the mean of its divisors is an integer number (262296216).

Almost surely, 212241083780 is an apocalyptic number.

12241083780 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 12241083780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18885327552).

12241083780 is an abundant number, since it is smaller than the sum of its proper divisors (25529571324).

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

12241083780 is a wasteful number, since it uses less digits than its factorization.

12241083780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12241083780 in words is "twelve billion, two hundred forty-one million, eighty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 151 180 194 291 302 388 453 485 582 604 755 873 906 970 1164 1359 1455 1510 1746 1812 1940 2265 2718 2910 3020 3492 4365 4530 4643 5436 5820 6795 8730 9060 9286 13590 13929 14647 17460 18572 23215 27180 27858 29294 41787 43941 46430 55716 58588 69645 73235 83574 87882 92860 131823 139290 146470 167148 175764 208935 219705 263646 278580 292940 417870 439410 450371 527292 659115 701093 835740 878820 900742 1318230 1351113 1402186 1801484 2103279 2251855 2636460 2702226 2804372 3505465 4053339 4206558 4503710 5404452 6309837 6755565 7010930 8106678 8413116 9007420 10516395 12619674 13511130 14021860 16213356 20266695 21032790 25239348 27022260 31549185 40533390 42065580 63098370 68006021 81066780 126196740 136012042 204018063 272024084 340030105 408036126 612054189 680060210 816072252 1020090315 1224108378 1360120420 2040180630 2448216756 3060270945 4080361260 6120541890 12241083780