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12000011201001 = 327723172644643
BaseRepresentation
bin1010111010011111100001…
…1001111010100111101001
31120111012010102011011200100
42232213320121322213221
53033102010331413001
641304421250100013
72345654315143335
oct256477031724751
946435112134610
1012000011201001
1139071a353532a
12141982357a609
13690799b11cb5
142d6b372967c5
1515c233dd4586
hexae9f867a9e9

12000011201001 has 12 divisors (see below), whose sum is σ = 17335593993328. Its totient is φ = 7998971553144.

The previous prime is 12000011200951. The next prime is 12000011201111. The reversal of 12000011201001 is 10010211000021.

It is a happy number.

It is not a de Polignac number, because 12000011201001 - 26 = 12000011200937 is a prime.

It is a super-3 number, since 3×120000112010013 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000011221001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86252815 + ... + 86391828.

Almost surely, 212000011201001 is an apocalyptic number.

It is an amenable number.

12000011201001 is a deficient number, since it is larger than the sum of its proper divisors (5335582792327).

12000011201001 is a wasteful number, since it uses less digits than its factorization.

12000011201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172652372 (or 172652369 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000011201001 its reverse (10010211000021), we get a palindrome (22010222201022).

The spelling of 12000011201001 in words is "twelve trillion, eleven million, two hundred one thousand, one".

Divisors: 1 3 9 7723 23169 69507 172644643 517933929 1553801787 1333334577889 4000003733667 12000011201001