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12112031213140 = 22561233421101209
BaseRepresentation
bin1011000001000000110101…
…0100010110011001010100
31120212220021021120101202211
42300100031110112121110
53041420414442310030
641432105035443204
72360031265425115
oct260201524263124
946786237511684
1012112031213140
11394a757950461
1214374868b6504
1369b20c972051
142dc32286420c
151600dd4e412a
hexb040d516654

12112031213140 has 96 divisors (see below), whose sum is σ = 26025118348320. Its totient is φ = 4733619609600.

The previous prime is 12112031213137. The next prime is 12112031213147. The reversal of 12112031213140 is 4131213021121.

It can be written as a sum of positive squares in 16 ways, for example, as 11891490147216 + 220541065924 = 3448404^2 + 469618^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12112031213147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119622856 + ... + 119724064.

It is an arithmetic number, because the mean of its divisors is an integer number (271094982795).

Almost surely, 212112031213140 is an apocalyptic number.

12112031213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112031213140 is an abundant number, since it is smaller than the sum of its proper divisors (13913087135180).

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

12112031213140 is a wasteful number, since it uses less digits than its factorization.

12112031213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101933 (or 101931 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12112031213140 its reverse (4131213021121), we get a palindrome (16243244234261).

The spelling of 12112031213140 in words is "twelve trillion, one hundred twelve billion, thirty-one million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 233 244 305 421 466 610 842 932 1165 1220 1684 2105 2330 4210 4660 8420 14213 25681 28426 51362 56852 71065 98093 101209 102724 128405 142130 196186 202418 256810 284260 392372 404836 490465 506045 513620 980930 1012090 1961860 2024180 5983673 6173749 11967346 12347498 23581697 23934692 24694996 29918365 30868745 42608989 47163394 59836730 61737490 85217978 94326788 117908485 119673460 123474980 170435956 213044945 235816970 426089890 471633940 852179780 1438483517 2599148329 2876967034 5198296658 5753934068 7192417585 9927894437 10396593316 12995741645 14384835170 19855788874 25991483290 28769670340 39711577748 49639472185 51982966580 99278944370 198557888740 605601560657 1211203121314 2422406242628 3028007803285 6056015606570 12112031213140