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12199120 = 245314919
BaseRepresentation
bin101110100010…
…010011010000
3211221210001021
4232202103100
511110332440
61113245224
7205455643
oct56422320
924853037
1012199120
11698241a
124103814
1326b181b
141897a5a
15110e84a
hexba24d0

12199120 has 40 divisors (see below), whose sum is σ = 29283840. Its totient is φ = 4721280.

The previous prime is 12199097. The next prime is 12199133. The reversal of 12199120 is 2199121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 4939.

It is an arithmetic number, because the mean of its divisors is an integer number (732096).

Almost surely, 212199120 is an apocalyptic number.

12199120 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 12199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641920).

12199120 is an abundant number, since it is smaller than the sum of its proper divisors (17084720).

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

12199120 is a wasteful number, since it uses less digits than its factorization.

12199120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 12199120 is about 3492.7238654093. The cubic root of 12199120 is about 230.2022166135.

Subtracting from 12199120 its reverse (2199121), we obtain a palindrome (9999999).

The spelling of 12199120 in words is "twelve million, one hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4919 9838 19676 24595 39352 49190 78704 98380 152489 196760 304978 393520 609956 762445 1219912 1524890 2439824 3049780 6099560 12199120