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2122031210112 = 273211167458271
BaseRepresentation
bin11110111000010010111…
…010101001111010000000
321111212100000002121220200
4132320102322221322000
5234231404442210422
64302503033205200
7306211624450602
oct36702272517200
97455300077820
102122031210112
11748a4832a150
122a331bb60800
131251505027c8
14749c7897172
153a2eb45d2ac
hex1ee12ea9e80

2122031210112 has 96 divisors (see below), whose sum is σ = 6661490060160. Its totient is φ = 643039756800.

The previous prime is 2122031210081. The next prime is 2122031210113. The reversal of 2122031210112 is 2110121302212.

2122031210112 is a `hidden beast` number, since 21 + 220 + 312 + 1 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (2122031210113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83716464 + ... + 83741807.

It is an arithmetic number, because the mean of its divisors is an integer number (69390521460).

Almost surely, 22122031210112 is an apocalyptic number.

2122031210112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2122031210112 is an abundant number, since it is smaller than the sum of its proper divisors (4539458850048).

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

2122031210112 is a wasteful number, since it uses less digits than its factorization.

2122031210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167458302 (or 167458287 counting only the distinct ones).

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

Adding to 2122031210112 its reverse (2110121302212), we get a palindrome (4232152512324).

The spelling of 2122031210112 in words is "two trillion, one hundred twenty-two billion, thirty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 167458271 334916542 502374813 669833084 1004749626 1339666168 1507124439 1842040981 2009499252 2679332336 3014248878 3684081962 4018998504 5358664672 5526122943 6028497756 7368163924 8037997008 10717329344 11052245886 12056995512 14736327848 16075994016 16578368829 21434658688 22104491772 24113991024 29472655696 32151988032 33156737658 44208983544 48227982048 58945311392 64303976064 66313475316 88417967088 96455964096 117890622784 132626950632 176835934176 192911928192 235781245568 265253901264 353671868352 530507802528 707343736704 1061015605056 2122031210112