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121278144 = 2631348589
BaseRepresentation
bin1110011101010…
…00111011000000
322110012120100010
413032220323000
5222021400034
620011224520
73001563411
oct716507300
9273176303
10121278144
1162505079
1234748140
131c183920
141216d808
15a9a93e9
hex73a8ec0

121278144 has 56 divisors (see below), whose sum is σ = 345572080. Its totient is φ = 37315584.

The previous prime is 121278139. The next prime is 121278167. The reversal of 121278144 is 441872121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21799 + ... + 26790.

It is an arithmetic number, because the mean of its divisors is an integer number (6170930).

Almost surely, 2121278144 is an apocalyptic number.

It is an amenable number.

121278144 is an abundant number, since it is smaller than the sum of its proper divisors (224293936).

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

121278144 is a wasteful number, since it uses less digits than its factorization.

121278144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48617 (or 48607 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 121278144 is about 11012.6356518319. The cubic root of 121278144 is about 494.9874417791.

The spelling of 121278144 in words is "one hundred twenty-one million, two hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 48589 97178 145767 194356 291534 388712 583068 631657 777424 1166136 1263314 1554848 1894971 2332272 2526628 3109696 3789942 4664544 5053256 7579884 9329088 10106512 15159768 20213024 30319536 40426048 60639072 121278144