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20121200240001 = 37139149385312007
BaseRepresentation
bin1001001001100110101001…
…11111100010010110000001
32122020120100001002121220120
410210303110333202112001
510114131204230140001
6110443315103530453
74144465046042160
oct444632477422601
978216301077816
1020121200240001
116458397a82243
12230b7592b9a29
13b2c562047893
144d7c2ab573d7
1524d5ea3c3236
hex124cd4fe2581

20121200240001 has 64 divisors (see below), whose sum is σ = 31099375104000. Its totient is φ = 11334612185856.

The previous prime is 20121200239981. The next prime is 20121200240017. The reversal of 20121200240001 is 10004200212102.

It is not a de Polignac number, because 20121200240001 - 27 = 20121200239873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20121200245001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1675783140 + ... + 1675795146.

It is an arithmetic number, because the mean of its divisors is an integer number (485927736000).

Almost surely, 220121200240001 is an apocalyptic number.

20121200240001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20121200240001 is a deficient number, since it is larger than the sum of its proper divisors (10978174863999).

20121200240001 is a wasteful number, since it uses less digits than its factorization.

20121200240001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16158.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20121200240001 its reverse (10004200212102), we get a palindrome (30125400452103).

The spelling of 20121200240001 in words is "twenty trillion, one hundred twenty-one billion, two hundred million, two hundred forty thousand, one".

Divisors: 1 3 7 21 139 149 417 447 973 1043 2919 3129 3853 11559 12007 20711 26971 36021 62133 80913 84049 144977 252147 434931 535567 574097 1606701 1668973 1722291 1789043 3748969 4018679 5006919 5367129 11246907 11682811 12056037 12523301 35048433 37569903 46262971 79799483 138788913 239398449 248676977 323840797 558596381 746030931 971522391 1675789143 1740738839 5222216517 6430552969 6893182679 19291658907 20679548037 45013870783 48252278753 135041612349 144756836259 958152392381 2874457177143 6707066746667 20121200240001