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12202132120 = 2351928310181
BaseRepresentation
bin10110101110100110…
…11100001010011000
31011111101110112111021
423113103130022120
5144442221211440
65334450012224
7611244261133
oct132723341230
934441415437
1012202132120
1151a1870512
122446577074
1311c5cb7429
1483a7d721a
154b639b84a
hex2d74dc298

12202132120 has 96 divisors (see below), whose sum is σ = 29327825520. Its totient is φ = 4567806720.

The previous prime is 12202132099. The next prime is 12202132123. The reversal of 12202132120 is 2123120221.

It is a happy number.

12202132120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12202132094 and 12202132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202132123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1193430 + ... + 1203610.

Almost surely, 212202132120 is an apocalyptic number.

12202132120 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 12202132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14663912760).

12202132120 is an abundant number, since it is smaller than the sum of its proper divisors (17125693400).

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

12202132120 is a wasteful number, since it uses less digits than its factorization.

12202132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10290 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12202132120 its reverse (2123120221), we get a palindrome (14325252341).

The spelling of 12202132120 in words is "twelve billion, two hundred two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 83 95 152 166 190 332 361 380 415 664 722 760 830 1444 1577 1660 1805 2888 3154 3320 3610 6308 7220 7885 10181 12616 14440 15770 20362 29963 31540 40724 50905 59926 63080 81448 101810 119852 149815 193439 203620 239704 299630 386878 407240 599260 773756 845023 967195 1198520 1547512 1690046 1934390 3380092 3675341 3868780 4225115 6760184 7350682 7737560 8450230 14701364 16055437 16900460 18376705 29402728 32110874 33800920 36753410 64221748 73506820 80277185 128443496 147013640 160554370 305053303 321108740 610106606 642217480 1220213212 1525266515 2440426424 3050533030 6101066060 12202132120