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12211020024 = 2337292506367
BaseRepresentation
bin10110101111101010…
…10110000011111000
31011112000012002101220
423113311112003320
5200002010120044
65335404312040
7611412646320
oct132765260370
934460162356
1012211020024
1151a6891095
122449542620
1311c7aa9a48
1483ba6c280
154b7055019
hex2d7d560f8

12211020024 has 64 divisors (see below), whose sum is σ = 36091699200. Its totient is φ = 3368555904.

The previous prime is 12211020013. The next prime is 12211020043. The reversal of 12211020024 is 42002011221.

It is a junction number, because it is equal to n+sod(n) for n = 12211019985 and 12211020012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1248312 + ... + 1258055.

It is an arithmetic number, because the mean of its divisors is an integer number (563932800).

Almost surely, 212211020024 is an apocalyptic number.

12211020024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12211020024 is an abundant number, since it is smaller than the sum of its proper divisors (23880679176).

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

12211020024 is a wasteful number, since it uses less digits than its factorization.

12211020024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506412 (or 2506408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12211020024 its reverse (42002011221), we get a palindrome (54213031245).

The spelling of 12211020024 in words is "twelve billion, two hundred eleven million, twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 2506367 5012734 7519101 10025468 15038202 17544569 20050936 30076404 35089138 52633707 60152808 70178276 72684643 105267414 140356552 145369286 210534828 218053929 290738572 421069656 436107858 508792501 581477144 872215716 1017585002 1526377503 1744431432 2035170004 3052755006 4070340008 6105510012 12211020024