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12002122010999 = 531723175974719
BaseRepresentation
bin1010111010100111011000…
…1110000001000101110111
31120111101120112000102122102
42232221312032001011313
53033120321213322444
641305410532052315
72346060525552341
oct256516616010567
946441515012572
1012002122010999
113908086a870aa
12141a11246409b
13690a452162b3
142d6c97758291
1515c30938484e
hexaea76381177

12002122010999 has 16 divisors (see below), whose sum is σ = 12242794291200. Its totient is φ = 11761984424736.

The previous prime is 12002122010981. The next prime is 12002122011017. The reversal of 12002122010999 is 99901022120021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12002122010981) and next prime (12002122011017).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12002122010999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002122010909) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 160592762 + ... + 160667480.

It is an arithmetic number, because the mean of its divisors is an integer number (765174643200).

Almost surely, 212002122010999 is an apocalyptic number.

12002122010999 is a deficient number, since it is larger than the sum of its proper divisors (240672280201).

12002122010999 is a wasteful number, since it uses less digits than its factorization.

12002122010999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78254.

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 12002122010999 in words is "twelve trillion, two billion, one hundred twenty-two million, ten thousand, nine hundred ninety-nine".

Divisors: 1 53 1723 1759 74719 91319 93227 3030757 3960107 128740837 131430721 160630121 6823264361 6965828213 226455132283 12002122010999