Search a number
-
+
12147120 = 2432516871
BaseRepresentation
bin101110010101…
…100110110000
3211212010201100
4232111212300
511102201440
61112204400
7205151226
oct56254660
924763640
1012147120
116947347
124099700
132693c5b
141882b16
1510ee230
hexb959b0

12147120 has 60 divisors (see below), whose sum is σ = 40796496. Its totient is φ = 3239040.

The previous prime is 12147101. The next prime is 12147131. The reversal of 12147120 is 2174121.

12147120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12147093 and 12147102.

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, 7716 + ... + 9155.

Almost surely, 212147120 is an apocalyptic number.

12147120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12147120 is an abundant number, since it is smaller than the sum of its proper divisors (28649376).

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

12147120 is a wasteful number, since it uses less digits than its factorization.

12147120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16890 (or 16881 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12147120 is about 3485.2718688791. The cubic root of 12147120 is about 229.8746639109.

The spelling of 12147120 in words is "twelve million, one hundred forty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16871 33742 50613 67484 84355 101226 134968 151839 168710 202452 253065 269936 303678 337420 404904 506130 607356 674840 759195 809808 1012260 1214712 1349680 1518390 2024520 2429424 3036780 4049040 6073560 12147120