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112120221201111 = 324310110974335419
BaseRepresentation
bin11001011111100100000101…
…111101001111001011010111
3112200222120212222210102110100
4121133210011331033023113
5104143434203111413421
61034243152450225143
732421263413415334
oct3137440575171327
9480876788712410
10112120221201111
11327a7a11999832
12106a97972851b3
134a73b787bb206
141d9890d27798b
15ce6786cdbc26
hex65f905f4f2d7

112120221201111 has 96 divisors (see below), whose sum is σ = 169126000243200. Its totient is φ = 71524072569600.

The previous prime is 112120221201101. The next prime is 112120221201119. The reversal of 112120221201111 is 111102122021211.

It is a happy number.

112120221201111 is a `hidden beast` number, since 1 + 12 + 120 + 221 + 201 + 111 = 666.

It is not a de Polignac number, because 112120221201111 - 27 = 112120221200983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120221201119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3165521160 + ... + 3165556578.

It is an arithmetic number, because the mean of its divisors is an integer number (1761729169200).

Almost surely, 2112120221201111 is an apocalyptic number.

112120221201111 is a deficient number, since it is larger than the sum of its proper divisors (57005779042089).

112120221201111 is a wasteful number, since it uses less digits than its factorization.

112120221201111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36421 (or 36418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112120221201111 its reverse (111102122021211), we get a palindrome (223222343222322).

The spelling of 112120221201111 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred twenty-one million, two hundred one thousand, one hundred eleven".

Divisors: 1 3 9 43 101 109 129 303 327 387 743 909 981 2229 4343 4687 6687 11009 13029 14061 31949 33027 35419 39087 42183 75043 80987 95847 99081 106257 225129 242961 287541 318771 473387 675387 728883 1420161 1523017 3226849 3482441 3577319 3860671 4260483 4569051 8179687 9680547 10447323 10731957 11582013 13707153 24539061 26316317 29041641 31341969 32195871 34746039 73617183 78948951 153824717 166008853 236846853 351726541 389927771 461474151 498026559 1055179623 1131601631 1169783313 1384422453 1494079677 2657948017 2868478553 3165538869 3394804893 3509349939 7973844051 8605435659 10184414679 16766894153 23921532153 25816306977 50300682459 114291764731 123344577779 150902047377 289716333853 342875294193 370033733337 869149001559 1028625882579 1110101200011 2607447004677 12457802355679 37373407067037 112120221201111