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12121000210158 = 23719611861133801
BaseRepresentation
bin1011000001100010001111…
…1010010110111011101110
31120220202102100022122200120
42300120203322112323232
53042042302023211113
641440151032305410
72360466453562350
oct260304372267356
946822370278616
1012121000210158
11395353a696694
12143916a542266
1369c00bb88988
142dc933ac90d0
15160465ae9a23
hexb0623e96eee

12121000210158 has 128 divisors (see below), whose sum is σ = 29657545128960. Its totient is φ = 3225329280000.

The previous prime is 12121000210157. The next prime is 12121000210159. The reversal of 12121000210158 is 85101200012121.

It is an interprime number because it is at equal distance from previous prime (12121000210157) and next prime (12121000210159).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121000210157) 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, 90522858 + ... + 90656658.

It is an arithmetic number, because the mean of its divisors is an integer number (231699571320).

Almost surely, 212121000210158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121000210158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14828772564480).

12121000210158 is an abundant number, since it is smaller than the sum of its proper divisors (17536544918802).

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

12121000210158 is a wasteful number, since it uses less digits than its factorization.

12121000210158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135754.

The product of its (nonzero) digits is 320, while the sum is 24.

Adding to 12121000210158 its reverse (85101200012121), we get a palindrome (97222200222279).

The spelling of 12121000210158 in words is "twelve trillion, one hundred twenty-one billion, two hundred ten thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 61 114 122 133 183 266 366 399 427 798 854 1159 1281 1861 2318 2562 3477 3722 5583 6954 8113 11166 13027 16226 24339 26054 35359 39081 48678 70718 78162 106077 113521 133801 212154 227042 247513 267602 340563 401403 495026 681126 742539 794647 802806 936607 1485078 1589294 1873214 2156899 2383941 2542219 2809821 4313798 4767882 5084438 5619642 6470697 7626657 8161861 12941394 15098293 15253314 16323722 17795533 24485583 30196586 35591066 45294879 48971166 53386599 57133027 90589758 106773198 114266054 155075359 171399081 249003661 310150718 342798162 465226077 498007322 747010983 930452154 1085527513 1494021966 1743025627 2171055026 3256582539 3486051254 4731069559 5229076881 6513165078 9462139118 10458153762 14193208677 15189223321 28386417354 30378446642 33117486913 45567669963 66234973826 91135339926 99352460739 106324563247 198704921478 212649126494 288595243099 318973689741 577190486198 637947379482 865785729297 1731571458594 2020166701693 4040333403386 6060500105079 12121000210158