Search a number
-
+
12197120 = 28513733
BaseRepresentation
bin101110100001…
…110100000000
3211221200022012
4232201310000
511110301440
61113232052
7205450055
oct56416400
924850265
1012197120
116980971
124102628
1326b0940
14189702c
15110de65
hexba1d00

12197120 has 72 divisors (see below), whose sum is σ = 31506216. Its totient is φ = 4497408.

The previous prime is 12197113. The next prime is 12197123. The reversal of 12197120 is 2179121.

It can be written as a sum of positive squares in 4 ways, for example, as 2262016 + 9935104 = 1504^2 + 3152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12197123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16274 + ... + 17006.

Almost surely, 212197120 is an apocalyptic number.

12197120 is a gapful number since it is divisible by the number (10) 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 12197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753108).

12197120 is an abundant number, since it is smaller than the sum of its proper divisors (19309096).

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

12197120 is an equidigital number, since it uses as much as digits as its factorization.

12197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 12197120 is about 3492.4375441803. The cubic root of 12197120 is about 230.1896356624.

The spelling of 12197120 in words is "twelve million, one hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 733 832 1040 1280 1466 1664 2080 2932 3328 3665 4160 5864 7330 8320 9529 11728 14660 16640 19058 23456 29320 38116 46912 47645 58640 76232 93824 95290 117280 152464 187648 190580 234560 304928 381160 469120 609856 762320 938240 1219712 1524640 2439424 3049280 6098560 12197120