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12121001012010 = 235111710121392141
BaseRepresentation
bin1011000001100010001111…
…1101011010101100101010
31120220202102101211101121210
42300120203331122230222
53042042302224341020
641440151101413550
72360466463442202
oct260304375325452
946822371741553
1012121001012010
113953540094080
12143916a86a2b6
1369c00c0a9947
142dc933c57402
15160465c073e0
hexb0623f5ab2a

12121001012010 has 128 divisors (see below), whose sum is σ = 33934440423168. Its totient is φ = 2738193920000.

The previous prime is 12121001011997. The next prime is 12121001012011. The reversal of 12121001012010 is 1021010012121.

12121001012010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12121001012011) 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, 10129461 + ... + 11262680.

It is an arithmetic number, because the mean of its divisors is an integer number (265112815806).

Almost surely, 212121001012010 is an apocalyptic number.

12121001012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12121001012010 is an abundant number, since it is smaller than the sum of its proper divisors (21813439411158).

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

12121001012010 is a wasteful number, since it uses less digits than its factorization.

12121001012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21392280.

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

Adding to 12121001012010 its reverse (1021010012121), we get a palindrome (13142011024131).

The spelling of 12121001012010 in words is "twelve trillion, one hundred twenty-one billion, one million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 101 102 110 165 170 187 202 255 303 330 374 505 510 561 606 935 1010 1111 1122 1515 1717 1870 2222 2805 3030 3333 3434 5151 5555 5610 6666 8585 10302 11110 16665 17170 18887 25755 33330 37774 51510 56661 94435 113322 188870 283305 566610 21392141 42784282 64176423 106960705 128352846 213921410 235313551 320882115 363666397 470627102 641764230 705940653 727332794 1090999191 1176567755 1411881306 1818331985 2160606241 2181998382 2353135510 3529703265 3636663970 4000330367 4321212482 5454995955 6481818723 7059406530 8000660734 10803031205 10909991910 12000991101 12963637446 20001651835 21606062410 23766668651 24001982202 32409093615 36730306097 40003303670 47533337302 60004955505 64818187230 71300005953 73460612194 110190918291 118833343255 120009911010 142600011906 183651530485 220381836582 237666686510 356500029765 367303060970 404033367067 550954591455 713000059530 808066734134 1101909182910 1212100101201 2020166835335 2424200202402 4040333670670 6060500506005 12121001012010