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12011013121032 = 2333232417675749
BaseRepresentation
bin1010111011001000100000…
…1010111010010000001000
31120112020112011012121201000
42232302020022322100020
53033242023324333112
641313441103255000
72346524050004052
oct256621012722010
946466464177630
1012011013121032
113910929864722
12141b993baa460
1369183125c553
142d749c5068d2
1515c679c027dc
hexaec882ba408

12011013121032 has 64 divisors (see below), whose sum is σ = 34814530800000. Its totient is φ = 3829598384832.

The previous prime is 12011013121031. The next prime is 12011013121033. The reversal of 12011013121032 is 23012131011021.

It is an interprime number because it is at equal distance from previous prime (12011013121031) and next prime (12011013121033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12011013120996 and 12011013121014.

It is not an unprimeable number, because it can be changed into a prime (12011013121031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208832907 + ... + 1208842842.

It is an arithmetic number, because the mean of its divisors is an integer number (543977043750).

Almost surely, 212011013121032 is an apocalyptic number.

12011013121032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12011013121032 is an abundant number, since it is smaller than the sum of its proper divisors (22803517678968).

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

12011013121032 is a wasteful number, since it uses less digits than its factorization.

12011013121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417675787 (or 2417675777 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12011013121032 its reverse (23012131011021), we get a palindrome (35023144132053).

The spelling of 12011013121032 in words is "twelve trillion, eleven billion, thirteen million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 2417675749 4835351498 7253027247 9670702996 14506054494 19341405992 21759081741 29012108988 43518163482 55606542227 58024217976 65277245223 87036326964 111213084454 130554490446 166819626681 174072653928 222426168908 261108980892 333639253362 444852337816 500458880043 522217961784 667278506724 1000917760086 1334557013448 1501376640129 2001835520172 3002753280258 4003671040344 6005506560516 12011013121032