Search a number
-
+
121131121320 = 233251130588667
BaseRepresentation
bin111000011001111111…
…0100011101010101000
3102120122211120112020200
41300303332203222220
53441034031340240
6131351420152200
711515512354126
oct1606376435250
9376584515220
10121131121320
114740a3a6330
121b586698660
13b565643521
145c11666916
15323e437930
hex1c33fa3aa8

121131121320 has 96 divisors (see below), whose sum is σ = 429464898720. Its totient is φ = 29365119360.

The previous prime is 121131121289. The next prime is 121131121357. The reversal of 121131121320 is 23121131121.

121131121320 is a `hidden beast` number, since 1 + 2 + 11 + 311 + 21 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121131121293 and 121131121302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15290374 + ... + 15298293.

It is an arithmetic number, because the mean of its divisors is an integer number (4473592695).

Almost surely, 2121131121320 is an apocalyptic number.

121131121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121131121320 is an abundant number, since it is smaller than the sum of its proper divisors (308333777400).

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

121131121320 is a wasteful number, since it uses less digits than its factorization.

121131121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30588695 (or 30588688 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121131121320 its reverse (23121131121), we get a palindrome (144252252441).

The spelling of 121131121320 in words is "one hundred twenty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 30588667 61177334 91766001 122354668 152943335 183532002 244709336 275298003 305886670 336475337 367064004 458830005 550596006 611773340 672950674 734128008 917660010 1009426011 1101192012 1223546680 1345901348 1376490015 1682376685 1835320020 2018852022 2202384024 2691802696 2752980030 3028278033 3364753370 3670640040 4037704044 5047130055 5505960060 6056556066 6729506740 8075408088 10094260110 11011920120 12113112132 13459013480 15141390165 20188520220 24226224264 30282780330 40377040440 60565560660 121131121320