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111120012002112 = 2631783424176537
BaseRepresentation
bin11001010001000000100100…
…110101111100001101000000
3112120102222011200201120220020
4121101000210311330031000
5104031042241033031422
61032155455004013440
732256104325456561
oct3121004465741500
9476388150646806
10111120012002112
1132451806978603
1210567977231280
134a007590972a9
141d62347136168
15cca74700095c
hex651024d7c340

111120012002112 has 112 divisors (see below), whose sum is σ = 294243132957312. Its totient is φ = 37010017566720.

The previous prime is 111120012002057. The next prime is 111120012002143. The reversal of 111120012002112 is 211200210021111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111120012002091 and 111120012002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1451808708 + ... + 1451885244.

It is an arithmetic number, because the mean of its divisors is an integer number (2627170829976).

Almost surely, 2111120012002112 is an apocalyptic number.

111120012002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111120012002112 is an abundant number, since it is smaller than the sum of its proper divisors (183123120955200).

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

111120012002112 is a wasteful number, since it uses less digits than its factorization.

111120012002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82576 (or 82566 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111120012002112 its reverse (211200210021111), we get a palindrome (322320222023223).

The spelling of 111120012002112 in words is "one hundred eleven trillion, one hundred twenty billion, twelve million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1783 3566 4241 5349 7132 8482 10698 12723 14264 16964 21396 25446 28528 33928 42792 50892 57056 67856 76537 85584 101784 114112 135712 153074 171168 203568 229611 271424 306148 342336 407136 459222 612296 814272 918444 1224592 1836888 2449184 3673776 4898368 7347552 7561703 14695104 15123406 22685109 30246812 45370218 60493624 90740436 120987248 136465471 181480872 241974496 272930942 324593417 362961744 409396413 483948992 545861884 649186834 725923488 818792826 973780251 1091723768 1298373668 1451846976 1637585652 1947560502 2183447536 2596747336 3275171304 3895121004 4366895072 5193494672 6550342608 7790242008 8733790144 10386989344 13100685216 15580484016 20773978688 26201370432 31160968032 62321936064 578750062511 1157500125022 1736250187533 2315000250044 3472500375066 4630000500088 6945000750132 9260001000176 13890001500264 18520002000352 27780003000528 37040004000704 55560006001056 111120012002112