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112221120120 = 233517149369197
BaseRepresentation
bin110100010000011100…
…1100110011001111000
3101201122212211120101020
41220200321212121320
53314312101320440
6123315332022440
711051641532214
oct1504071463170
9351585746336
10112221120120
114365799557a
12198ba761a20
13a775714775
14560819b944
152dbc0d73d0
hex1a20e66678

112221120120 has 128 divisors (see below), whose sum is σ = 358860456000. Its totient is φ = 27976196096.

The previous prime is 112221120119. The next prime is 112221120127. The reversal of 112221120120 is 21021122211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112221120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112221120127) 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, 119362 + ... + 488558.

Almost surely, 2112221120120 is an apocalyptic number.

112221120120 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 112221120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179430228000).

112221120120 is an abundant number, since it is smaller than the sum of its proper divisors (246639335880).

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

112221120120 is a wasteful number, since it uses less digits than its factorization.

112221120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369377 (or 369373 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112221120120 its reverse (21021122211), we get a palindrome (133242242331).

The spelling of 112221120120 in words is "one hundred twelve billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 149 170 204 255 298 340 408 447 510 596 680 745 894 1020 1192 1490 1788 2040 2235 2533 2980 3576 4470 5066 5960 7599 8940 10132 12665 15198 17880 20264 25330 30396 37995 50660 60792 75990 101320 151980 303960 369197 738394 1107591 1476788 1845985 2215182 2953576 3691970 4430364 5537955 6276349 7383940 8860728 11075910 12552698 14767880 18829047 22151820 25105396 31381745 37658094 44303640 50210792 55010353 62763490 75316188 94145235 110020706 125526980 150632376 165031059 188290470 220041412 251053960 275051765 330062118 376580940 440082824 550103530 660124236 753161880 825155295 935176001 1100207060 1320248472 1650310590 1870352002 2200414120 2805528003 3300621180 3740704004 4675880005 5611056006 6601242360 7481408008 9351760010 11222112012 14027640015 18703520020 22444224024 28055280030 37407040040 56110560060 112221120120