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12000010600007 = 17376712712791753
BaseRepresentation
bin1010111010011111100001…
…0111100111111001000111
31120111012010101000122021022
42232213320113213321013
53033102010203200012
641304421225141355
72345654310061223
oct256477027477107
946435111018238
1012000010600007
1139071a3164841
12141982332a85b
13690799961591
142d6b3717b783
1515c233d16472
hexae9f85e7e47

12000010600007 has 64 divisors (see below), whose sum is σ = 13366402744320. Its totient is φ = 10725114064896.

The previous prime is 12000010600001. The next prime is 12000010600031. The reversal of 12000010600007 is 70000601000021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12000010600007 - 242 = 7601964088903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000010600001) 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, 6845413043 + ... + 6845414795.

It is an arithmetic number, because the mean of its divisors is an integer number (208850042880).

Almost surely, 212000010600007 is an apocalyptic number.

12000010600007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12000010600007 is a deficient number, since it is larger than the sum of its proper divisors (1366392144313).

12000010600007 is a wasteful number, since it uses less digits than its factorization.

12000010600007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280.

The product of its (nonzero) digits is 84, while the sum is 17.

Adding to 12000010600007 its reverse (70000601000021), we get a palindrome (82000611600028).

The spelling of 12000010600007 in words is "twelve trillion, ten million, six hundred thousand, seven".

Divisors: 1 17 37 67 127 629 1139 1279 1753 2159 2479 4699 8509 21743 29801 42143 47323 64861 79883 85693 117451 144653 162433 222631 314833 804491 1102637 1456781 1996667 2242087 2761361 3170641 3784727 4345687 5352161 6010021 8237347 10883011 14916277 38115479 53900897 73876679 82957219 102170357 140034899 150219829 185011187 253576709 284745049 402671407 551902249 1410272723 2553737093 4840665833 5558133673 6845413919 9382338233 10535566813 19077918283 94488272441 179104635821 324324610811 705882976471 12000010600007