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121010221012122 = 23313199072591169
BaseRepresentation
bin11011100000111011100011…
…001111001101010010011010
3120212110110112100211200012000
4123200323203033031102122
5111330112413034341442
61105211154511101430
734326462041125311
oct3340734317152232
9525413470750160
10121010221012122
1135615168038862
12116a4712211876
13526a2a4115c80
1421c4cd6b2b278
15decb48384d4c
hex6e0ee33cd49a

121010221012122 has 64 divisors (see below), whose sum is σ = 304839063312000. Its totient is φ = 35274234461184.

The previous prime is 121010221012069. The next prime is 121010221012129. The reversal of 121010221012122 is 221210122010121.

121010221012122 is a `hidden beast` number, since 1 + 210 + 102 + 210 + 121 + 22 = 666.

It is a super-2 number, since 2×1210102210121222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121010221012095 and 121010221012104.

It is not an unprimeable number, because it can be changed into a prime (121010221012129) 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, 4536282247 + ... + 4536308922.

It is an arithmetic number, because the mean of its divisors is an integer number (4763110364250).

Almost surely, 2121010221012122 is an apocalyptic number.

121010221012122 is an abundant number, since it is smaller than the sum of its proper divisors (183828842299878).

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

121010221012122 is a wasteful number, since it uses less digits than its factorization.

121010221012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9072591212 (or 9072591206 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121010221012122 its reverse (221210122010121), we get a palindrome (342220343022243).

The spelling of 121010221012122 in words is "one hundred twenty-one trillion, ten billion, two hundred twenty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 702 741 1026 1482 2223 4446 6669 13338 9072591169 18145182338 27217773507 54435547014 81653320521 117943685197 163306641042 172379232211 235887370394 244959961563 344758464422 353831055591 489919923126 517137696633 707662111182 1034275393266 1061493166773 1551413089899 2122986333546 2240930018743 3102826179798 3184479500319 4481860037486 4654239269697 6368959000638 6722790056229 9308478539394 13445580112458 20168370168687 40336740337374 60505110506061 121010221012122