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12125793036 = 2237283367677
BaseRepresentation
bin10110100101100000…
…01110101100001100
31011022001211002221210
423102300032230030
5144313200334121
65323121454420
7606326353200
oct132260165414
934261732853
1012125793036
11516276a865
122424aa1410
1311b3239486
14830604b00
154ae81c876
hex2d2c0eb0c

12125793036 has 144 divisors (see below), whose sum is σ = 33449504256. Its totient is φ = 3408402816.

The previous prime is 12125793023. The next prime is 12125793037. The reversal of 12125793036 is 63039752121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12125792985 and 12125793003.

It is not an unprimeable number, because it can be changed into a prime (12125793037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17910730 + ... + 17911406.

It is an arithmetic number, because the mean of its divisors is an integer number (232288224).

Almost surely, 212125793036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12125793036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16724752128).

12125793036 is an abundant number, since it is smaller than the sum of its proper divisors (21323711220).

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

12125793036 is a wasteful number, since it uses less digits than its factorization.

12125793036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 12125793036 in words is "twelve billion, one hundred twenty-five million, seven hundred ninety-three thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 147 166 196 249 294 332 367 498 581 588 677 734 996 1101 1162 1354 1468 1743 2031 2202 2324 2569 2708 3486 4062 4067 4404 4739 5138 6972 7707 8124 8134 9478 10276 12201 14217 15414 16268 17983 18956 24402 28434 30461 30828 33173 35966 48804 53949 56191 56868 60922 66346 71932 91383 99519 107898 112382 121844 132692 168573 182766 199038 213227 215796 224764 248459 337146 365532 393337 398076 426454 496918 639681 674292 745377 786674 852908 993836 1180011 1279362 1490754 1492589 1573348 1739213 2360022 2558724 2753359 2981508 2985178 3478426 4477767 4720044 5217639 5506718 5970356 6956852 8260077 8955534 10435278 11013436 12174491 16520154 17911068 20622097 20870556 24348982 33040308 36523473 41244194 48697964 61866291 73046946 82488388 123732582 144354679 146093892 247465164 288709358 433064037 577418716 866128074 1010482753 1732256148 2020965506 3031448259 4041931012 6062896518 12125793036