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120101112012 = 22375937936389
BaseRepresentation
bin110111111011010010…
…1011000100011001100
3102111000001102122002210
41233312211120203030
53431431341041022
6131101303350420
711451134415420
oct1576645304314
9374001378083
10120101112012
1146a30a46072
121b339752410
13b43012a06b
145b54946b80
1531cdcc9a0c
hex1bf69588cc

120101112012 has 96 divisors (see below), whose sum is σ = 325834790400. Its totient is φ = 33718828032.

The previous prime is 120101112011. The next prime is 120101112101. The reversal of 120101112012 is 210211101021.

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

It is not an unprimeable number, because it can be changed into a prime (120101112011) 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, 18794914 + ... + 18801302.

It is an arithmetic number, because the mean of its divisors is an integer number (3394112400).

Almost surely, 2120101112012 is an apocalyptic number.

120101112012 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 120101112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162917395200).

120101112012 is an abundant number, since it is smaller than the sum of its proper divisors (205733678388).

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

120101112012 is a wasteful number, since it uses less digits than its factorization.

120101112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10255 (or 10253 counting only the distinct ones).

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

Adding to 120101112012 its reverse (210211101021), we get a palindrome (330312213033).

The spelling of 120101112012 in words is "one hundred twenty billion, one hundred one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 3793 4956 6389 7586 11379 12778 15172 19167 22758 25556 26551 38334 44723 45516 53102 76668 79653 89446 106204 134169 159306 178892 223787 268338 318612 376951 447574 536676 671361 753902 895148 1130853 1342722 1507804 1566509 2261706 2638657 2685444 3133018 4523412 4699527 5277314 6266036 7915971 9399054 10554628 15831942 18798108 24233477 31663884 48466954 72700431 96933908 145400862 169634339 290801724 339268678 508903017 678537356 1017806034 1429775143 2035612068 2859550286 4289325429 5719100572 8578650858 10008426001 17157301716 20016852002 30025278003 40033704004 60050556006 120101112012