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121132331120 = 2456124822199
BaseRepresentation
bin111000011010000001…
…1001011000001110000
3102120122220211222210002
41300310003023001300
53441034334043440
6131351502125132
711515525553213
oct1606403130160
9376586758702
10121132331120
1147410052269
121b586b807a8
13b565978098
145c1189d77a
15323e5c6115
hex1c340cb070

121132331120 has 40 divisors (see below), whose sum is σ = 286249610400. Its totient is φ = 47658620160.

The previous prime is 121132331087. The next prime is 121132331129. The reversal of 121132331120 is 21133231121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121132331092 and 121132331101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121132331129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12406220 + ... + 12415979.

It is an arithmetic number, because the mean of its divisors is an integer number (7156240260).

Almost surely, 2121132331120 is an apocalyptic number.

121132331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121132331120 is an abundant number, since it is smaller than the sum of its proper divisors (165117279280).

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

121132331120 is a wasteful number, since it uses less digits than its factorization.

121132331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24822273 (or 24822267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121132331120 its reverse (21133231121), we get a palindrome (142265562241).

Subtracting from 121132331120 its reverse (21133231121), we obtain a palindrome (99999099999).

The spelling of 121132331120 in words is "one hundred twenty-one billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 24822199 49644398 99288796 124110995 198577592 248221990 397155184 496443980 992887960 1514154139 1985775920 3028308278 6056616556 7570770695 12113233112 15141541390 24226466224 30283082780 60566165560 121132331120