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12011021200122 = 2379715740146829
BaseRepresentation
bin1010111011001000100010…
…1001101110101011111010
31120112020112201102002010120
42232302020221232223322
53033242032411400442
641313441552354110
72346524205453210
oct256621051565372
946466481362116
1012011021200122
11391093338265a
12141b996845936
13691832b2a989
142d749d60acb0
1515c67a79b4ec
hexaec88a6eafa

12011021200122 has 128 divisors (see below), whose sum is σ = 27983665866240. Its totient is φ = 3366221414400.

The previous prime is 12011021200121. The next prime is 12011021200141. The reversal of 12011021200122 is 22100212011021.

It is a super-4 number, since 4×120110212001224 (a number of 53 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (12011021200121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256463404 + ... + 256510232.

It is an arithmetic number, because the mean of its divisors is an integer number (218622389580).

Almost surely, 212011021200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011021200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991832933120).

12011021200122 is an abundant number, since it is smaller than the sum of its proper divisors (15972644666118).

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

12011021200122 is a wasteful number, since it uses less digits than its factorization.

12011021200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47496.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12011021200122 its reverse (22100212011021), we get a palindrome (34111233211143).

The spelling of 12011021200122 in words is "twelve trillion, eleven billion, twenty-one million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 97 157 194 291 314 401 471 582 679 802 942 1099 1203 1358 2037 2198 2406 2807 3297 4074 5614 6594 8421 15229 16842 30458 38897 45687 46829 62957 77794 91374 93658 106603 116691 125914 140487 188871 213206 233382 272279 280974 319809 327803 377742 440699 544558 639618 655606 816837 881398 983409 1322097 1633674 1966818 2644194 4542413 6106829 7352153 9084826 12213658 13627239 14704306 18320487 18778429 22056459 27254478 31796891 36640974 37556858 42747803 44112918 51465071 56335287 63593782 85495606 95390673 102930142 112670574 128243409 131449003 154395213 190781346 256486818 262898006 308790426 394347009 713158841 788694018 1426317682 1821507613 2139476523 2948213353 3643015226 4278953046 4992111887 5464522839 5896426706 8844640059 9984223774 10929045678 12750553291 14976335661 17689280118 20637493471 25501106582 29952671322 38251659873 41274986942 61912480413 76503319746 123824960826 285976695241 571953390482 857930085723 1715860171446 2001836866687 4003673733374 6005510600061 12011021200122