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12012001131102 = 237432831863593
BaseRepresentation
bin1010111011001100001100…
…0011110111101001011110
31120112100002000022201201120
42232303003003313221132
53033301034242143402
641314123115551410
72346560404646640
oct256630303675136
946470060281646
1012012001131102
113911296539275
12142000aa5b566
1369195ab5c1ab
142d7553812890
1515c6d68163bc
hexaecc30f7a5e

12012001131102 has 96 divisors (see below), whose sum is σ = 28448045676288. Its totient is φ = 3311796797568.

The previous prime is 12012001131083. The next prime is 12012001131121. The reversal of 12012001131102 is 20113110021021.

It is an interprime number because it is at equal distance from previous prime (12012001131083) and next prime (12012001131121).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5513818 + ... + 7377410.

It is an arithmetic number, because the mean of its divisors is an integer number (296333809128).

Almost surely, 212012001131102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012001131102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224022838144).

12012001131102 is an abundant number, since it is smaller than the sum of its proper divisors (16436044545186).

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

12012001131102 is a wasteful number, since it uses less digits than its factorization.

12012001131102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863774 (or 1863731 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12012001131102 its reverse (20113110021021), we get a palindrome (32125111152123).

The spelling of 12012001131102 in words is "twelve trillion, twelve billion, one million, one hundred thirty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 43 83 86 129 166 249 258 301 498 581 602 903 1162 1743 1806 1849 3486 3569 3698 5547 7138 10707 11094 12943 21414 24983 25886 38829 49966 74949 77658 149898 153467 306934 460401 920802 1074269 1863593 2148538 3222807 3727186 5590779 6445614 11181558 13045151 26090302 39135453 78270906 80134499 154678219 160268998 240403497 309356438 464034657 480806994 560941493 928069314 1082747533 1121882986 1682824479 2165495066 3248242599 3365648958 3445783457 6496485198 6651163417 6891566914 10337350371 13302326834 19953490251 20674700742 24120484199 39906980502 46558143919 48240968398 72361452597 93116287838 139674431757 144722905194 279348863514 286000026931 572000053862 858000080793 1716000161586 2002000188517 4004000377034 6006000565551 12012001131102