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112221100001120 = 25511360717677291
BaseRepresentation
bin11001100001000010000010…
…110011010100011101100000
3112201100020021102001102200112
4121201002002303110131200
5104202112303100013440
61034401354525110452
732431464321155105
oct3141020263243540
9481306242042615
10112221100001120
1132836779397330
121070524b3b8428
134a805343b0956
141d9d75ccd6aac
15ce91dd266965
hex661082cd4760

112221100001120 has 96 divisors (see below), whose sum is σ = 289304581015296. Its totient is φ = 40796356953600.

The previous prime is 112221100001077. The next prime is 112221100001233. The reversal of 112221100001120 is 21100001122211.

It is a super-2 number, since 2×1122211000011202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112221100001095 and 112221100001104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2490326 + ... + 15186965.

It is an arithmetic number, because the mean of its divisors is an integer number (3013589385576).

Almost surely, 2112221100001120 is an apocalyptic number.

112221100001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112221100001120 is an abundant number, since it is smaller than the sum of its proper divisors (177083481014176).

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

112221100001120 is a wasteful number, since it uses less digits than its factorization.

112221100001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17680924 (or 17680916 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112221100001120 its reverse (21100001122211), we get a palindrome (133321101123331).

The spelling of 112221100001120 in words is "one hundred twelve trillion, two hundred twenty-one billion, one hundred million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 3607 7214 14428 18035 28856 36070 39677 57712 72140 79354 115424 144280 158708 198385 288560 317416 396770 577120 634832 793540 1269664 1587080 3174160 6348320 17677291 35354582 70709164 88386455 141418328 176772910 194450201 282836656 353545820 388900402 565673312 707091640 777800804 972251005 1414183280 1555601608 1944502010 2828366560 3111203216 3889004020 6222406432 7778008040 15556016080 31112032160 63761988637 127523977274 255047954548 318809943185 510095909096 637619886370 701381875007 1020191818192 1275239772740 1402763750014 2040383636384 2550479545480 2805527500028 3506909375035 5100959090960 5611055000056 7013818750070 10201918181920 11222110000112 14027637500140 22444220000224 28055275000280 56110550000560 112221100001120