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112012221212199 = 33711672393364637
BaseRepresentation
bin11001011101111111100000…
…101001111110011000100111
3112200121021010021202112112000
4121131333200221332120213
5104140202012112242244
61034121412023500343
732410421155564110
oct3135774051763047
9480537107675460
10112012221212199
11327661307a3650
12106908762b76b3
134a66926770729
141d935c5953207
15ce3a655aa169
hex65dfe0a7e627

112012221212199 has 128 divisors (see below), whose sum is σ = 210857825894400. Its totient is φ = 57079838471040.

The previous prime is 112012221212173. The next prime is 112012221212231. The reversal of 112012221212199 is 991212122210211.

It is a happy number.

112012221212199 is a `hidden beast` number, since 1 + 1 + 20 + 12 + 221 + 212 + 199 = 666.

It is not a de Polignac number, because 112012221212199 - 212 = 112012221208103 is a prime.

It is a super-2 number, since 2×1120122212121992 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112012221212119) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31608709 + ... + 34973345.

It is an arithmetic number, because the mean of its divisors is an integer number (1647326764800).

Almost surely, 2112012221212199 is an apocalyptic number.

112012221212199 is a deficient number, since it is larger than the sum of its proper divisors (98845604682201).

112012221212199 is a wasteful number, since it uses less digits than its factorization.

112012221212199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364970 (or 3364964 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 112012221212199 in words is "one hundred twelve trillion, twelve billion, two hundred twenty-one million, two hundred twelve thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 11 21 27 33 63 67 77 99 189 201 231 239 297 469 603 693 717 737 1407 1673 1809 2079 2151 2211 2629 4221 5019 5159 6453 6633 7887 12663 15057 15477 16013 18403 19899 23661 45171 46431 48039 55209 70983 112091 139293 144117 165627 176143 336273 432351 496881 528429 1008819 1233001 1585287 3026457 3364637 3699003 4755861 10093911 11097009 23552459 30281733 33291027 37011007 70657377 90845199 111033021 211972131 225430679 259077049 333099063 635916393 676292037 777231147 804148243 999297189 1578014753 2028876111 2331693441 2412444729 2479737469 4734044259 5629037701 6086628333 6995080323 7237334187 7439212407 8845630673 14202132777 16887113103 17358162283 21712002561 22317637221 26536892019 42606398331 50661339309 52074486849 53877932281 61919414711 66952911663 79610676057 151984017927 156223460547 161633796843 185758244133 238832028171 377145525967 468670381641 484901390529 557274732399 592657255091 1131436577901 1454704171587 1671824197197 1777971765273 3394309733703 4148600785637 5333915295819 10182929201109 12445802356911 16001745887457 37337407070733 112012221212199