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121320303121332 = 223272353394938289
BaseRepresentation
bin11011100101011100010101…
…100100100101001110110100
3120220120002220112000220201100
4123211130111210211032310
5111400202440044340312
61110005440002530100
734361050131432240
oct3345342544451664
9526502815026640
10121320303121332
1135724719330a17
1211734830066930
1352905bc950473
1421d5d10c87420
15e05c45c205dc
hex6e57159253b4

121320303121332 has 144 divisors (see below), whose sum is σ = 372619537355520. Its totient is φ = 32530276905984.

The previous prime is 121320303121289. The next prime is 121320303121333. The reversal of 121320303121332 is 233121303023121.

121320303121332 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 2 + 0 + 303 + 1 + 21 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121320303121296 and 121320303121305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121320303121333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197161957 + ... + 197776332.

It is an arithmetic number, because the mean of its divisors is an integer number (2587635676080).

Almost surely, 2121320303121332 is an apocalyptic number.

121320303121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121320303121332 is an abundant number, since it is smaller than the sum of its proper divisors (251299234234188).

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

121320303121332 is a wasteful number, since it uses less digits than its factorization.

121320303121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394938382 (or 394938377 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 121320303121332 its reverse (233121303023121), we get a palindrome (354441606144453).

The spelling of 121320303121332 in words is "one hundred twenty-one trillion, three hundred twenty billion, three hundred three million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 53 63 69 84 92 106 126 138 159 161 207 212 252 276 318 322 371 414 477 483 636 644 742 828 954 966 1113 1219 1449 1484 1908 1932 2226 2438 2898 3339 3657 4452 4876 5796 6678 7314 8533 10971 13356 14628 17066 21942 25599 34132 43884 51198 76797 102396 153594 307188 394938289 789876578 1184814867 1579753156 2369629734 2764568023 3554444601 4739259468 5529136046 7108889202 8293704069 9083580647 11058272092 14217778404 16587408138 18167161294 20931729317 24881112207 27250741941 33174816276 36334322588 41863458634 49762224414 54501483882 62795187951 63585064529 81752225823 83726917268 99524448828 109002967764 125590375902 127170129058 146522105219 163504451646 188385563853 190755193587 251180751804 254340258116 293044210438 327008903292 376771127706 381510387174 439566315657 481429774291 572265580761 586088420876 753542255412 763020774348 879132631314 962859548582 1144531161522 1318698946971 1444289322873 1758265262628 1925719097164 2289062323044 2637397893942 2888578645746 3370008420037 4332867968619 5274795787884 5777157291492 6740016840074 8665735937238 10110025260111 13480033680148 17331471874476 20220050520222 30330075780333 40440101040444 60660151560666 121320303121332