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12002122133024 = 252391459178301
BaseRepresentation
bin1010111010100111011000…
…1110011110111000100000
31120111101120112020122000212
42232221312032132320200
53033120321231224044
641305410534433252
72346060526601162
oct256516616367040
946441515218025
1012002122133024
11390808705a851
12141a112502828
13690a452599ba
142d6c9778a932
1515c3093aaa9e
hexaea7639ee20

12002122133024 has 48 divisors (see below), whose sum is σ = 24656941391040. Its totient is φ = 5740050412800.

The previous prime is 12002122132993. The next prime is 12002122133033. The reversal of 12002122133024 is 42033122120021.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67224674 + ... + 67402974.

It is an arithmetic number, because the mean of its divisors is an integer number (513686278980).

Almost surely, 212002122133024 is an apocalyptic number.

It is an amenable number.

12002122133024 is an abundant number, since it is smaller than the sum of its proper divisors (12654819258016).

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

12002122133024 is a wasteful number, since it uses less digits than its factorization.

12002122133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269793 (or 269785 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12002122133024 its reverse (42033122120021), we get a palindrome (54035244253045).

The spelling of 12002122133024 in words is "twelve trillion, two billion, one hundred twenty-two million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 91459 178301 182918 356602 365836 713204 731672 1426408 1463344 2103557 2852816 2926688 4100923 4207114 5705632 8201846 8414228 16403692 16828456 32807384 33656912 65614768 67313824 131229536 16307231159 32614462318 65228924636 130457849272 260915698544 375066316657 521831397088 750132633314 1500265266628 3000530533256 6001061066512 12002122133024