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12281192970 = 2351016775987
BaseRepresentation
bin10110111000000010…
…00010001000001010
31011200220020020120220
423130001002020022
5200122441133340
65350352330510
7613224263214
oct133401021012
934626206526
1012281192970
115232460062
122468b43a36
1312094a91b7
148470d75b4
154bd2b6ed0
hex2dc04220a

12281192970 has 64 divisors (see below), whose sum is σ = 29815641216. Its totient is φ = 3237228800.

The previous prime is 12281192969. The next prime is 12281192971. The reversal of 12281192970 is 7929118221.

12281192970 is digitally balanced in base 5, 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 (12281192969) and next prime (12281192971).

It is not an unprimeable number, because it can be changed into a prime (12281192971) by changing a digit.

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, 2048317 + ... + 2054303.

It is an arithmetic number, because the mean of its divisors is an integer number (465869394).

Almost surely, 212281192970 is an apocalyptic number.

12281192970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12281192970 is an abundant number, since it is smaller than the sum of its proper divisors (17534448246).

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

12281192970 is a wasteful number, since it uses less digits than its factorization.

12281192970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775.

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 12281192970 in words is "twelve billion, two hundred eighty-one million, one hundred ninety-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 505 606 677 1010 1354 1515 2031 3030 3385 4062 5987 6770 10155 11974 17961 20310 29935 35922 59870 68377 89805 136754 179610 205131 341885 410262 604687 683770 1025655 1209374 1814061 2051310 3023435 3628122 4053199 6046870 8106398 9070305 12159597 18140610 20265995 24319194 40531990 60797985 121595970 409373099 818746198 1228119297 2046865495 2456238594 4093730990 6140596485 12281192970