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121505400033402 = 237211234716008199
BaseRepresentation
bin11011101000001000101110…
…001101010001000001111010
3120221012210200020112021220010
4123220020232031101001322
5111411221024402032102
61110230451000042350
734410322040301300
oct3350105615210172
9527183606467803
10121505400033402
1135796172752620
12117646887633b6
1352a4baa5256c8
142200c6d970270
15e0a97ab24d6c
hex6e822e35107a

121505400033402 has 96 divisors (see below), whose sum is σ = 308516177548800. Its totient is φ = 31546395306720.

The previous prime is 121505400033397. The next prime is 121505400033419. The reversal of 121505400033402 is 204330004505121.

It is a self number, because there is not a number n which added to its sum of digits gives 121505400033402.

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, 413902 + ... + 15594297.

It is an arithmetic number, because the mean of its divisors is an integer number (3213710182800).

Almost surely, 2121505400033402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121505400033402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154258088774400).

121505400033402 is an abundant number, since it is smaller than the sum of its proper divisors (187010777515398).

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

121505400033402 is a wasteful number, since it uses less digits than its factorization.

121505400033402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16010576 (or 16010569 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 121505400033402 its reverse (204330004505121), we get a palindrome (325835404538523).

The spelling of 121505400033402 in words is "one hundred twenty-one trillion, five hundred five billion, four hundred million, thirty-three thousand, four hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 2347 3234 4694 7041 14082 16429 25817 32858 49287 51634 77451 98574 115003 154902 180719 230006 345009 361438 542157 690018 1084314 1265033 2530066 3795099 7590198 16008199 32016398 48024597 96049194 112057393 176090189 224114786 336172179 352180378 528270567 672344358 784401751 1056541134 1232631323 1568803502 2353205253 2465262646 3697893969 4706410506 7395787938 8628419261 17256838522 25885257783 37571243053 51770515566 75142486106 112713729159 225427458318 262998701371 413283673583 525997402742 788996104113 826567347166 1239851020749 1577992208226 1840990909597 2479702041498 2892985715081 3681981819194 5522972728791 5785971430162 8678957145243 11045945457582 17357914290486 20250900005567 40501800011134 60752700016701 121505400033402