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112232111220 = 2235547491341
BaseRepresentation
bin110100010000110001…
…1100001110001110100
3101201200122111222100000
41220201203201301310
53314322410024340
6123320403351300
711052134130225
oct1504143416164
9351618458300
10112232111220
1143663112329
1219902382530
13a777a92488
14560981d24c
152dbd058d30
hex1a218e1c74

112232111220 has 144 divisors (see below), whose sum is σ = 360558551808. Its totient is φ = 29291725440.

The previous prime is 112232111219. The next prime is 112232111261. The reversal of 112232111220 is 22111232211.

112232111220 is a `hidden beast` number, since 1 + 122 + 321 + 1 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112232111193 and 112232111202.

It is a congruent number.

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, 17251 + ... + 474090.

It is an arithmetic number, because the mean of its divisors is an integer number (2503878832).

Almost surely, 2112232111220 is an apocalyptic number.

112232111220 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 112232111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180279275904).

112232111220 is an abundant number, since it is smaller than the sum of its proper divisors (248326440588).

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

112232111220 is a wasteful number, since it uses less digits than its factorization.

112232111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491412 (or 491398 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112232111220 its reverse (22111232211), we get a palindrome (134343343431).

The spelling of 112232111220 in words is "one hundred twelve billion, two hundred thirty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 243 270 282 324 405 423 470 486 540 564 705 810 846 940 972 1215 1269 1410 1620 1692 2115 2430 2538 2820 3807 4230 4860 5076 6345 7614 8460 11421 12690 15228 19035 22842 25380 38070 45684 57105 76140 114210 228420 491341 982682 1474023 1965364 2456705 2948046 4422069 4913410 5896092 7370115 8844138 9826820 13266207 14740230 17688276 22110345 23093027 26532414 29480460 39798621 44220690 46186054 53064828 66331035 69279081 79597242 88441380 92372108 115465135 119395863 132662070 138558162 159194484 198993105 207837243 230930270 238791726 265324140 277116324 346395405 397986210 415674486 461860540 477583452 596979315 623511729 692790810 795972420 831348972 1039186215 1193958630 1247023458 1385581620 1870535187 2078372430 2387917260 2494046916 3117558645 3741070374 4156744860 5611605561 6235117290 7482140748 9352675935 11223211122 12470234580 18705351870 22446422244 28058027805 37410703740 56116055610 112232111220