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12196020 = 2235317983
BaseRepresentation
bin101110100001…
…100010110100
3211221121210110
4232201202310
511110233040
61113223020
7205443624
oct56414264
924847713
1012196020
116980061
124101a70
1326b02a5
141896884
15110d980
hexba18b4

12196020 has 96 divisors (see below), whose sum is σ = 36126720. Its totient is φ = 3070080.

The previous prime is 12196013. The next prime is 12196031. The reversal of 12196020 is 2069121.

12196020 = T145 + T146 + ... + T423.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146899 + ... + 146981.

It is an arithmetic number, because the mean of its divisors is an integer number (376320).

Almost surely, 212196020 is an apocalyptic number.

12196020 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 12196020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063360).

12196020 is an abundant number, since it is smaller than the sum of its proper divisors (23930700).

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

12196020 is a wasteful number, since it uses less digits than its factorization.

12196020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 12196020 is about 3492.2800574983. The cubic root of 12196020 is about 230.1827155530.

It can be divided in two parts, 121 and 96020, that added together give a triangular number (96141 = T438).

The spelling of 12196020 in words is "twelve million, one hundred ninety-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 79 83 93 124 155 158 166 186 237 249 310 316 332 372 395 415 465 474 498 620 790 830 930 948 996 1185 1245 1580 1660 1860 2370 2449 2490 2573 4740 4898 4980 5146 6557 7347 7719 9796 10292 12245 12865 13114 14694 15438 19671 24490 25730 26228 29388 30876 32785 36735 38595 39342 48980 51460 65570 73470 77190 78684 98355 131140 146940 154380 196710 203267 393420 406534 609801 813068 1016335 1219602 2032670 2439204 3049005 4065340 6098010 12196020