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12001001011001 = 293116779935797
BaseRepresentation
bin1010111010100011001101…
…1001101111011100111001
31120111021200101122201201222
42232220303121233130321
53033111022224323001
641305103405121425
72346020664323642
oct256506331573471
946437611581658
1012001001011001
113907661229222
121419a5ab59275
136908c6bc1ca2
142d6bcc9106c9
1515c290c5161b
hexaea3366f739

12001001011001 has 16 divisors (see below), whose sum is σ = 12892045501440. Its totient is φ = 11146247394240.

The previous prime is 12001001010989. The next prime is 12001001011007. The reversal of 12001001011001 is 10011010010021.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12001001011001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12001001011001.

It is not an unprimeable number, because it can be changed into a prime (12001001011007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39817766 + ... + 40118031.

It is an arithmetic number, because the mean of its divisors is an integer number (805752843840).

Almost surely, 212001001011001 is an apocalyptic number.

It is an amenable number.

12001001011001 is a deficient number, since it is larger than the sum of its proper divisors (891044490439).

12001001011001 is a wasteful number, since it uses less digits than its factorization.

12001001011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79936024.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12001001011001 its reverse (10011010010021), we get a palindrome (22012011021022).

The spelling of 12001001011001 in words is "twelve trillion, one billion, one million, eleven thousand, one".

Divisors: 1 29 31 167 899 4843 5177 150133 79935797 2318138113 2478009707 13349278099 71862281503 387129064871 413827621069 12001001011001