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12211204050 = 2325219275169
BaseRepresentation
bin10110101111101100…
…00010111111010010
31011112000112102211200
423113312002333102
5200002032012200
65335412252030
7611414343663
oct132766027722
934460472750
1012211204050
1151a69a7381
122449611016
1311c7b42736
1483bab936a
154b708e800
hex2d7d82fd2

12211204050 has 108 divisors (see below), whose sum is σ = 34625481930. Its totient is φ = 3084894720.

The previous prime is 12211204039. The next prime is 12211204123. The reversal of 12211204050 is 5040211221.

It can be written as a sum of positive squares in 3 ways, for example, as 9757685961 + 2453518089 = 98781^2 + 49533^2 .

It is a super-2 number, since 2×122112040502 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 124866 + ... + 200034.

Almost surely, 212211204050 is an apocalyptic number.

12211204050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211204050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17312740965).

12211204050 is an abundant number, since it is smaller than the sum of its proper divisors (22414277880).

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

12211204050 is a wasteful number, since it uses less digits than its factorization.

12211204050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75225 (or 75198 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12211204050 its reverse (5040211221), we get a palindrome (17251415271).

The spelling of 12211204050 in words is "twelve billion, two hundred eleven million, two hundred four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 361 450 475 570 722 855 950 1083 1425 1710 1805 2166 2850 3249 3610 4275 5415 6498 8550 9025 10830 16245 18050 27075 32490 54150 75169 81225 150338 162450 225507 375845 451014 676521 751690 1127535 1353042 1428211 1879225 2255070 2856422 3382605 3758450 4284633 5637675 6765210 7141055 8569266 11275350 12853899 14282110 16913025 21423165 25707798 27136009 33826050 35705275 42846330 54272018 64269495 71410550 81408027 107115825 128538990 135680045 162816054 214231650 244224081 271360090 321347475 407040135 488448162 642694950 678400225 814080270 1221120405 1356800450 2035200675 2442240810 4070401350 6105602025 12211204050