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12121060050 = 2335211274203
BaseRepresentation
bin10110100100111100…
…01011001011010010
31011021201220122112000
423102132023023102
5144310442410200
65322432214430
7606241211331
oct132236131322
934251818460
1012121060050
115160027900
12242339a416
1311b22700a8
1482db31d18
154ae1d5300
hex2d278b2d2

12121060050 has 144 divisors (see below), whose sum is σ = 36713171040. Its totient is φ = 2938399200.

The previous prime is 12121060043. The next prime is 12121060057. The reversal of 12121060050 is 5006012121.

12121060050 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 10 + 600 + 50 = 666.

12121060050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12121060043) and next prime (12121060057).

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

It is not an unprimeable number, because it can be changed into a prime (12121060057) 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 71 ways as a sum of consecutive naturals, for example, 126249 + ... + 200451.

Almost surely, 212121060050 is an apocalyptic number.

12121060050 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 12121060050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18356585520).

12121060050 is an abundant number, since it is smaller than the sum of its proper divisors (24592110990).

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

12121060050 is a wasteful number, since it uses less digits than its factorization.

12121060050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74246 (or 74224 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12121060050 its reverse (5006012121), we get a palindrome (17127072171).

The spelling of 12121060050 in words is "twelve billion, one hundred twenty-one million, sixty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 121 135 150 165 198 225 242 270 275 297 330 363 450 495 550 594 605 675 726 825 990 1089 1210 1350 1485 1650 1815 2178 2475 2970 3025 3267 3630 4950 5445 6050 6534 7425 9075 10890 14850 16335 18150 27225 32670 54450 74203 81675 148406 163350 222609 371015 445218 667827 742030 816233 1113045 1335654 1632466 1855075 2003481 2226090 2448699 3339135 3710150 4006962 4081165 4897398 5565225 6678270 7346097 8162330 8978563 10017405 11130450 12243495 14692194 16695675 17957126 20034810 20405825 22038291 24486990 26935689 33391350 36730485 40811650 44076582 44892815 50087025 53871378 61217475 73460970 80807067 89785630 100174050 110191455 122434950 134678445 161614134 183652425 220382910 224464075 242421201 269356890 367304850 404035335 448928150 484842402 550957275 673392225 808070670 1101914550 1212106005 1346784450 2020176675 2424212010 4040353350 6060530025 12121060050