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12044013124100 = 2252611974428381
BaseRepresentation
bin1010111101000011011100…
…0111111011101000000100
31120122101200222112110121212
42233100313013323220010
53034312114324432400
641340535424030552
72352102605260406
oct257206707735004
946571628473555
1012044013124100
113923923470431
121426263762458
1369499000a399
142d8d0d158b76
1515d45bdc1335
hexaf4371fba04

12044013124100 has 36 divisors (see below), whose sum is σ = 26563959451428. Its totient is φ = 4738628112000.

The previous prime is 12044013124093. The next prime is 12044013124111. The reversal of 12044013124100 is 142131044021.

It can be written as a sum of positive squares in 6 ways, for example, as 4612675425796 + 7431337698304 = 2147714^2 + 2726048^2 .

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 11 ways as a sum of consecutive naturals, for example, 987208091 + ... + 987220290.

Almost surely, 212044013124100 is an apocalyptic number.

12044013124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12044013124100 is an abundant number, since it is smaller than the sum of its proper divisors (14519946327328).

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

12044013124100 is a wasteful number, since it uses less digits than its factorization.

12044013124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974428456 (or 1974428449 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 12044013124100 its reverse (142131044021), we get a palindrome (12186144168121).

The spelling of 12044013124100 in words is "twelve trillion, forty-four billion, thirteen million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 1974428381 3948856762 7897713524 9872141905 19744283810 39488567620 49360709525 98721419050 120440131241 197442838100 240880262482 481760524964 602200656205 1204401312410 2408802624820 3011003281025 6022006562050 12044013124100