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12041142014100 = 2235240137140047
BaseRepresentation
bin1010111100111000101111…
…1111100001000010010100
31120122010021220000222010110
42233032023333201002110
53034240224323422400
641335342502123020
72351641503243333
oct257161377410224
946563256028113
1012041142014100
11392268a833a51
1214257a2120470
13694623243324
142d8b19b03d1a
1515d33ecdbe50
hexaf38bfe1094

12041142014100 has 36 divisors (see below), whose sum is σ = 34839037561664. Its totient is φ = 3210971203680.

The previous prime is 12041142014059. The next prime is 12041142014107. The reversal of 12041142014100 is 141024114021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041142014107) 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 11 ways as a sum of consecutive naturals, for example, 20068569724 + ... + 20068570323.

Almost surely, 212041142014100 is an apocalyptic number.

12041142014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12041142014100 is an abundant number, since it is smaller than the sum of its proper divisors (22797895547564).

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

12041142014100 is a wasteful number, since it uses less digits than its factorization.

12041142014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40137140064 (or 40137140057 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12041142014100 its reverse (141024114021), we get a palindrome (12182166128121).

The spelling of 12041142014100 in words is "twelve trillion, forty-one billion, one hundred forty-two million, fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 40137140047 80274280094 120411420141 160548560188 200685700235 240822840282 401371400470 481645680564 602057100705 802742800940 1003428501175 1204114201410 2006857002350 2408228402820 3010285503525 4013714004700 6020571007050 12041142014100