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111001210002012 = 223117197112197651
BaseRepresentation
bin11001001111010001111011…
…101100010001101001011100
3112120000121112011210200022110
4121033101323230101221130
5104022120434230031022
61032025130224514020
732244400314232341
oct3117217354215134
9476017464720273
10111001210002012
1132406392283550
121054894077b910
1349c24a5153c05
141d5a6b6d5c7c8
15cc75e22dd00c
hex64f47bb11a5c

111001210002012 has 96 divisors (see below), whose sum is σ = 286823200462848. Its totient is φ = 33128817400000.

The previous prime is 111001210001999. The next prime is 111001210002013. The reversal of 111001210002012 is 210200012100111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001210002013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3001387 + ... + 15199037.

It is an arithmetic number, because the mean of its divisors is an integer number (2987741671488).

Almost surely, 2111001210002012 is an apocalyptic number.

111001210002012 is a gapful number since it is divisible by the number (12) 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 111001210002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143411600231424).

111001210002012 is an abundant number, since it is smaller than the sum of its proper divisors (175821990460836).

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

111001210002012 is a wasteful number, since it uses less digits than its factorization.

111001210002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12198711 (or 12198709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111001210002012 its reverse (210200012100111), we get a palindrome (321201222102123).

The spelling of 111001210002012 in words is "one hundred eleven trillion, one billion, two hundred ten million, two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 971 1562 1942 2343 2913 3124 3884 4686 5826 9372 10681 11652 21362 32043 42724 64086 68941 128172 137882 206823 275764 413646 758351 827292 1516702 2275053 3033404 4550106 9100212 12197651 24395302 36592953 48790604 73185906 134174161 146371812 268348322 402522483 536696644 805044966 866033221 1610089932 1732066442 2598099663 3464132884 5196199326 9526365431 10392398652 11843919121 19052730862 23687838242 28579096293 35531757363 38105461724 47375676484 57158192586 71063514726 114316385172 130283110331 142127029452 260566220662 390849330993 521132441324 781698661986 840918257591 1563397323972 1681836515182 2522754772773 3363673030364 5045509545546 9250100833501 10091019091092 18500201667002 27750302500503 37000403334004 55500605001006 111001210002012