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121112320311099 = 321317461677195103
BaseRepresentation
bin11011100010011010101000…
…110101000111111100111011
3120212211020001211200110020200
4123202122220311013330323
5111333301012444423344
61105330122025253243
734340035125631065
oct3342325065077473
9525736054613220
10121112320311099
11356544a0473297
1211700467034223
135276ac5829450
1421c9c208d4735
15e00621a49069
hex6e26a8d47f3b

121112320311099 has 96 divisors (see below), whose sum is σ = 200208142278144. Its totient is φ = 69890593443840.

The previous prime is 121112320311077. The next prime is 121112320311131. The reversal of 121112320311099 is 990113023211121.

121112320311099 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 12 + 320 + 311 + 0 + 9 + 9 = 666.

It is not a de Polignac number, because 121112320311099 - 211 = 121112320309051 is a prime.

It is a super-2 number, since 2×1211123203110992 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121112320312099) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620663382 + ... + 620858484.

It is an arithmetic number, because the mean of its divisors is an integer number (2085501482064).

Almost surely, 2121112320311099 is an apocalyptic number.

121112320311099 is a deficient number, since it is larger than the sum of its proper divisors (79095821967045).

121112320311099 is a wasteful number, since it uses less digits than its factorization.

121112320311099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196277 (or 196274 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 121112320311099 in words is "one hundred twenty-one trillion, one hundred twelve billion, three hundred twenty million, three hundred eleven thousand, ninety-nine".

Divisors: 1 3 9 13 17 39 51 117 153 221 461 663 677 1383 1989 2031 4149 5993 6093 7837 8801 11509 17979 23511 26403 34527 53937 70533 79209 101881 103581 149617 195103 305643 312097 448851 585309 916929 936291 1346553 1755927 2536339 2808873 3316751 4057261 5305649 7609017 9950253 12171783 15916947 22827051 29850759 36515349 43117763 47750841 68973437 89942483 129353289 132084731 206920311 269827449 388059867 396254193 620760933 809482347 1169252279 1188762579 1529022211 1717101503 2245440427 3507756837 4587066633 5151304509 6736321281 10523270511 13761199899 15453913527 19877288743 20208963843 29190725551 59631866229 60891060991 87572176653 178895598687 182673182973 262716529959 548019548919 791583792883 1035148036847 2374751378649 3105444110541 7124254135947 9316332331623 13456924479011 40370773437033 121112320311099