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121327128 = 233213459
BaseRepresentation
bin1110011101101…
…00111000011000
322110022001112100
413032310320120
5222024432003
620012243400
73002156256
oct716647030
9273261470
10121327128
116253895a
1234770560
131c1a0000
14121835d6
15a9b8ba3
hex73b4e18

121327128 has 120 divisors (see below), whose sum is σ = 362009700. Its totient is φ = 36698688.

The previous prime is 121327127. The next prime is 121327133. The reversal of 121327128 is 821723121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121327127) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2056363 + ... + 2056421.

Almost surely, 2121327128 is an apocalyptic number.

121327128 is a gapful number since it is divisible by the number (18) 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 121327128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181004850).

121327128 is an abundant number, since it is smaller than the sum of its proper divisors (240682572).

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

121327128 is an equidigital number, since it uses as much as digits as its factorization.

121327128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 121327128 is about 11014.8594180770. The cubic root of 121327128 is about 495.0540742886.

The spelling of 121327128 in words is "one hundred twenty-one million, three hundred twenty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 104 117 118 156 169 177 234 236 312 338 354 468 472 507 531 676 708 767 936 1014 1062 1352 1416 1521 1534 2028 2124 2197 2301 3042 3068 4056 4248 4394 4602 6084 6136 6591 6903 8788 9204 9971 12168 13182 13806 17576 18408 19773 19942 26364 27612 28561 29913 39546 39884 52728 55224 57122 59826 79092 79768 85683 89739 114244 119652 129623 158184 171366 179478 228488 239304 257049 259246 342732 358956 388869 514098 518492 685464 717912 777738 1028196 1036984 1166607 1555476 1685099 2056392 2333214 3110952 3370198 4666428 5055297 6740396 9332856 10110594 13480792 15165891 20221188 30331782 40442376 60663564 121327128