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111221001200001 = 371117918127148387
BaseRepresentation
bin11001010010011110101000…
…010001001010000110000001
3112120210121211210201101112210
4121102132220101022012001
5104034221102301400001
61032314120025012333
732266311043466130
oct3122365021120601
9476717753641483
10111221001200001
113249061a719720
12105834603240a9
134a0a131801214
141d671a76d1917
15ccd1a7ed5dd6
hex6527a844a181

111221001200001 has 64 divisors (see below), whose sum is σ = 185931256135680. Its totient is φ = 57450809424960.

The previous prime is 111221001199949. The next prime is 111221001200009. The reversal of 111221001200001 is 100002100122111.

It is not a de Polignac number, because 111221001200001 - 210 = 111221001198977 is a prime.

It is a super-2 number, since 2×1112210012000012 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111221001200001.

It is not an unprimeable number, because it can be changed into a prime (111221001200009) 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, 749459130 + ... + 749607516.

It is an arithmetic number, because the mean of its divisors is an integer number (2905175877120).

Almost surely, 2111221001200001 is an apocalyptic number.

111221001200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111221001200001 is a deficient number, since it is larger than the sum of its proper divisors (74710254935679).

111221001200001 is a wasteful number, since it uses less digits than its factorization.

111221001200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166714.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111221001200001 its reverse (100002100122111), we get a palindrome (211223101322112).

The spelling of 111221001200001 in words is "one hundred eleven trillion, two hundred twenty-one billion, one million, two hundred thousand, one".

Divisors: 1 3 7 11 21 33 77 179 231 537 1253 1969 3759 5907 13783 18127 41349 54381 126889 148387 199397 380667 445161 598191 1038709 1395779 1632257 3116127 3244733 4187337 4896771 9734199 11425799 22713131 26561273 34277397 35692063 68139393 79683819 107076189 185928911 249844441 292174003 557786733 749533323 876522009 2045218021 2689811149 6135654063 8069433447 18828678043 29587922639 56486034129 88763767917 207115458473 481476195671 621346375419 1444428587013 3370333369697 5296238152381 10111000109091 15888714457143 37073667066667 111221001200001