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121332203130312 = 233228158791020079
BaseRepresentation
bin11011100101100111011010…
…110111100000110111001000
3120220121020121212000000011200
4123211213122313200313020
5111400401323000132222
61110015124501224200
734361651050022046
oct3345473267406710
9526536555000150
10121332203130312
11357297755a7889
1211736bb1402060
1352917681755b5
1421d671d4b7396
15e061e07ddeac
hex6e59dade0dc8

121332203130312 has 96 divisors (see below), whose sum is σ = 329833891296000. Its totient is φ = 40293244212480.

The previous prime is 121332203130269. The next prime is 121332203130319. The reversal of 121332203130312 is 213031302233121.

121332203130312 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 32 + 2 + 0 + 313 + 0 + 312 = 666.

It is not an unprimeable number, because it can be changed into a prime (121332203130319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118433889 + ... + 119453967.

It is an arithmetic number, because the mean of its divisors is an integer number (3435769701000).

Almost surely, 2121332203130312 is an apocalyptic number.

121332203130312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121332203130312 is an abundant number, since it is smaller than the sum of its proper divisors (208501688165688).

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

121332203130312 is a wasteful number, since it uses less digits than its factorization.

121332203130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026251 (or 1026244 counting only the distinct ones).

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

Adding to 121332203130312 its reverse (213031302233121), we get a palindrome (334363505363433).

The spelling of 121332203130312 in words is "one hundred twenty-one trillion, three hundred thirty-two billion, two hundred three million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 281 562 843 1124 1686 2248 2529 3372 5058 5879 6744 10116 11758 17637 20232 23516 35274 47032 52911 70548 105822 141096 211644 423288 1020079 1651999 2040158 3060237 3303998 4080316 4955997 6120474 6607996 8160632 9180711 9911994 12240948 13215992 14867991 18361422 19823988 24481896 29735982 36722844 39647976 59471964 73445688 118943928 286642199 573284398 859926597 1146568796 1719853194 2293137592 2579779791 3439706388 5159559582 5997044441 6879412776 10319119164 11994088882 17991133323 20638238328 23988177764 35982266646 47976355528 53973399969 71964533292 107946799938 143929066584 215893599876 431787199752 1685169487921 3370338975842 5055508463763 6740677951684 10111016927526 13481355903368 15166525391289 20222033855052 30333050782578 40444067710104 60666101565156 121332203130312