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12210213888 = 21033441631
BaseRepresentation
bin10110101111100100…
…10001010000000000
31011111221200010121000
423113302101100000
5200001303321023
65335335132000
7611403051135
oct132762212000
934457603530
1012210213888
1151a6390464
122449214000
1311c7886b42
1483b8dc58c
154b6e46243
hex2d7c91400

12210213888 has 88 divisors (see below), whose sum is σ = 36160828160. Its totient is φ = 4070062080.

The previous prime is 12210213881. The next prime is 12210213929. The reversal of 12210213888 is 88831201221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210213881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193168 + ... + 248463.

Almost surely, 212210213888 is an apocalyptic number.

12210213888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12210213888 is an abundant number, since it is smaller than the sum of its proper divisors (23950614272).

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

12210213888 is an equidigital number, since it uses as much as digits as its factorization.

12210213888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441660 (or 441636 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 12210213888 in words is "twelve billion, two hundred ten million, two hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 441631 883262 1324893 1766524 2649786 3533048 3974679 5299572 7066096 7949358 10599144 11924037 14132192 15898716 21198288 23848074 28264384 31797432 42396576 47696148 56528768 63594864 84793152 95392296 113057536 127189728 169586304 190784592 226115072 254379456 339172608 381569184 452230144 508758912 678345216 763138368 1017517824 1356690432 1526276736 2035035648 3052553472 4070071296 6105106944 12210213888