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128480121 = 33711292131
BaseRepresentation
bin1111010100001…
…11001101111001
322221202110121000
413222013031321
5230342330441
620425435213
73120030420
oct752071571
9287673530
10128480121
1166584020
123703bb09
1320805a53
14130c62b7
15b42d2b6
hex7a87379

128480121 has 64 divisors (see below), whose sum is σ = 245606400. Its totient is φ = 64411200.

The previous prime is 128480119. The next prime is 128480129. The reversal of 128480121 is 121084821.

It is not a de Polignac number, because 128480121 - 21 = 128480119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (128480129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59226 + ... + 61356.

It is an arithmetic number, because the mean of its divisors is an integer number (3837600).

Almost surely, 2128480121 is an apocalyptic number.

128480121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

128480121 is a deficient number, since it is larger than the sum of its proper divisors (117126279).

128480121 is a wasteful number, since it uses less digits than its factorization.

128480121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 128480121 is about 11334.9071897391. The cubic root of 128480121 is about 504.5977530754.

It can be divided in two parts, 128 and 480121, that added together give a square (480249 = 6932).

The spelling of 128480121 in words is "one hundred twenty-eight million, four hundred eighty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 29 33 63 77 87 99 189 203 231 261 297 319 609 693 783 957 1827 2079 2131 2233 2871 5481 6393 6699 8613 14917 19179 20097 23441 44751 57537 60291 61799 70323 134253 164087 185397 210969 402759 432593 492261 556191 632907 679789 1297779 1476783 1668573 2039367 3893337 4430349 4758523 6118101 11680011 14275569 18354303 42826707 128480121