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2112356146120 = 2351112767755837
BaseRepresentation
bin11110101111010010001…
…111001101101111001000
321110221100201202110012021
4132233102033031233020
5234102101133133440
64254223015054224
7305420103663133
oct36572217155710
97427321673167
102112356146120
11744932a803a0
122a147b971374
1312426ac3417c
147434a95921a
1539e31d8784a
hex1ebd23cdbc8

2112356146120 has 128 divisors (see below), whose sum is σ = 5233512591360. Its totient is φ = 760941941760.

The previous prime is 2112356146057. The next prime is 2112356146237. The reversal of 2112356146120 is 216416532112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37802842 + ... + 37858678.

It is an arithmetic number, because the mean of its divisors is an integer number (40886817120).

Almost surely, 22112356146120 is an apocalyptic number.

2112356146120 is a gapful number since it is divisible by the number (20) 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 2112356146120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616756295680).

2112356146120 is an abundant number, since it is smaller than the sum of its proper divisors (3121156445240).

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

2112356146120 is a wasteful number, since it uses less digits than its factorization.

2112356146120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56663 (or 56659 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 2112356146120 in words is "two trillion, one hundred twelve billion, three hundred fifty-six million, one hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 440 508 635 677 1016 1270 1354 1397 2540 2708 2794 3385 5080 5416 5588 6770 6985 7447 11176 13540 13970 14894 27080 27940 29788 37235 55837 55880 59576 74470 85979 111674 148940 171958 223348 279185 297880 343916 429895 446696 558370 614207 687832 859790 945769 1116740 1228414 1719580 1891538 2233480 2456828 3071035 3439160 3783076 4728845 4913656 6142070 7091299 7566152 9457690 12284140 14182598 18915380 24568280 28365196 35456495 37801649 37830760 56730392 70912990 75603298 78004289 141825980 151206596 156008578 189008245 283651960 302413192 312017156 378016490 390021445 415818139 624034312 756032980 780042890 831636278 1512065960 1560085780 1663272556 2079090695 3120171560 3326545112 4158181390 4800809423 8316362780 9601618846 16632725560 19203237692 24004047115 38406475384 48008094230 52808903653 96016188460 105617807306 192032376920 211235614612 264044518265 422471229224 528089036530 1056178073060 2112356146120