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121475232 = 25322111999
BaseRepresentation
bin1110011110110…
…01000010100000
322110120120200200
413033121002200
5222044201412
620015345200
73003344124
oct717310240
9273516620
10121475232
116262a15a
1234822200
131c222548
14121c1584
15a9e79dc
hex73d90a0

121475232 has 72 divisors (see below), whose sum is σ = 347256000. Its totient is φ = 40279680.

The previous prime is 121475201. The next prime is 121475243. The reversal of 121475232 is 232574121.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 121475196 and 121475205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59769 + ... + 61767.

It is an arithmetic number, because the mean of its divisors is an integer number (4823000).

Almost surely, 2121475232 is an apocalyptic number.

121475232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121475232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173628000).

121475232 is an abundant number, since it is smaller than the sum of its proper divisors (225780768).

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

121475232 is a wasteful number, since it uses less digits than its factorization.

121475232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2215 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 121475232 is about 11021.5802859663. The cubic root of 121475232 is about 495.2554298478.

The spelling of 121475232 in words is "one hundred twenty-one million, four hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 422 633 844 1266 1688 1899 1999 2532 3376 3798 3998 5064 5997 6752 7596 7996 10128 11994 15192 15992 17991 20256 23988 30384 31984 35982 47976 60768 63968 71964 95952 143928 191904 287856 421789 575712 843578 1265367 1687156 2530734 3374312 3796101 5061468 6748624 7592202 10122936 13497248 15184404 20245872 30368808 40491744 60737616 121475232