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121331002122 = 23211612782839
BaseRepresentation
bin111000011111111100…
…1000010101100001010
3102121011202200112011100
41300333321002230022
53441441214031442
6131423320242230
711523460334031
oct1607771025412
9377152615140
10121331002122
1147502207780
121b621610376
13b597b884a5
145c30017718
153251c6b84c
hex1c3fe42b0a

121331002122 has 24 divisors (see below), whose sum is σ = 286782369120. Its totient is φ = 36766970280.

The previous prime is 121331002097. The next prime is 121331002147. The reversal of 121331002122 is 221200133121.

121331002122 is a `hidden beast` number, since 121 + 331 + 0 + 0 + 212 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (121331002097) and next prime (121331002147).

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 = 121331002095 and 121331002104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306391222 + ... + 306391617.

It is an arithmetic number, because the mean of its divisors is an integer number (11949265380).

Almost surely, 2121331002122 is an apocalyptic number.

121331002122 is an abundant number, since it is smaller than the sum of its proper divisors (165451366998).

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

121331002122 is a wasteful number, since it uses less digits than its factorization.

121331002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612782858 (or 612782855 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121331002122 its reverse (221200133121), we get a palindrome (342531135243).

The spelling of 121331002122 in words is "one hundred twenty-one billion, three hundred thirty-one million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 612782839 1225565678 1838348517 3676697034 5515045551 6740611229 11030091102 13481222458 20221833687 40443667374 60665501061 121331002122