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121132320 = 2535252359
BaseRepresentation
bin1110011100001…
…01010100100000
322102221011022020
413032011110200
5222002213240
620004141440
73000415311
oct716052440
9272834266
10121132320
1162415561
1234697880
131c13243a
1412132608
15a97b0d0
hex7385520

121132320 has 48 divisors (see below), whose sum is σ = 381568320. Its totient is φ = 32301824.

The previous prime is 121132307. The next prime is 121132321. The reversal of 121132320 is 23231121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121132320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121132321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125700 + ... + 126659.

It is an arithmetic number, because the mean of its divisors is an integer number (7949340).

Almost surely, 2121132320 is an apocalyptic number.

121132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121132320 is an abundant number, since it is smaller than the sum of its proper divisors (260436000).

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

121132320 is a wasteful number, since it uses less digits than its factorization.

121132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252377 (or 252369 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 121132320 is about 11006.0129020459. The cubic root of 121132320 is about 494.7889723884.

Adding to 121132320 its reverse (23231121), we get a palindrome (144363441).

The spelling of 121132320 in words is "one hundred twenty-one million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 252359 504718 757077 1009436 1261795 1514154 2018872 2523590 3028308 3785385 4037744 5047180 6056616 7570770 8075488 10094360 12113232 15141540 20188720 24226464 30283080 40377440 60566160 121132320