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121413223141320 = 233511163564292727
BaseRepresentation
bin11011100110110010111000…
…000010010100111111001000
3120220212222202021110000020010
4123212302320002110333020
5111403213240111010240
61110120244213231520
734400546565530505
oct3346627002247710
9526788667400203
10121413223141320
1135760071255270
121174a8429325a0
1352992aa702a06
1421da6078cc4ac
15e083835e3280
hex6e6cb8094fc8

121413223141320 has 128 divisors (see below), whose sum is σ = 399790111933440. Its totient is φ = 29252934915840.

The previous prime is 121413223141253. The next prime is 121413223141333. The reversal of 121413223141320 is 23141322314121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281931204 + ... + 282361523.

It is an arithmetic number, because the mean of its divisors is an integer number (3123360249480).

Almost surely, 2121413223141320 is an apocalyptic number.

121413223141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121413223141320 is an abundant number, since it is smaller than the sum of its proper divisors (278376888792120).

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

121413223141320 is a wasteful number, since it uses less digits than its factorization.

121413223141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564292915 (or 564292911 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 121413223141320 its reverse (23141322314121), we get a palindrome (144554545455441).

The spelling of 121413223141320 in words is "one hundred twenty-one trillion, four hundred thirteen billion, two hundred twenty-three million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 163 165 220 264 326 330 440 489 652 660 815 978 1304 1320 1630 1793 1956 2445 3260 3586 3912 4890 5379 6520 7172 8965 9780 10758 14344 17930 19560 21516 26895 35860 43032 53790 71720 107580 215160 564292727 1128585454 1692878181 2257170908 2821463635 3385756362 4514341816 5642927270 6207219997 6771512724 8464390905 11285854540 12414439994 13543025448 16928781810 18621659991 22571709080 24828879988 31036099985 33857563620 37243319982 49657759976 62072199970 67715127240 74486639964 91979714501 93108299955 124144399940 148973279928 183959429002 186216599910 248288799880 275939143503 367918858004 372433199820 459898572505 551878287006 735837716008 744866399640 919797145010 1011776859511 1103756574012 1379695717515 1839594290020 2023553719022 2207513148024 2759391435030 3035330578533 3679188580040 4047107438044 5058884297555 5518782870060 6070661157066 8094214876088 10117768595110 11037565740120 12141322314132 15176652892665 20235537190220 24282644628264 30353305785330 40471074380440 60706611570660 121413223141320