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120012312300101 = 13192957164315119
BaseRepresentation
bin11011010010011010001011…
…001111100100101001000101
3120201221001202101112200111022
4123102122023033210221011
5111212240203422100401
61103124521204120525
734164413656046624
oct3322321317445105
9521831671480438
10120012312300101
113526aa32640541
1211563234696145
1351c71601a7a50
14218c8ac3436bb
15dd1be051471b
hex6d268b3e4a45

120012312300101 has 16 divisors (see below), whose sum is σ = 136092354988800. Its totient is φ = 104914545582528.

The previous prime is 120012312300077. The next prime is 120012312300157. The reversal of 120012312300101 is 101003213210021.

It is a cyclic number.

It is not a de Polignac number, because 120012312300101 - 242 = 115614265788997 is a prime.

It is a super-2 number, since 2×1200123123001012 (a number of 29 digits) contains 22 as substring.

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 120012312300101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120012312300301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81427181 + ... + 82887938.

It is an arithmetic number, because the mean of its divisors is an integer number (8505772186800).

Almost surely, 2120012312300101 is an apocalyptic number.

It is an amenable number.

120012312300101 is a deficient number, since it is larger than the sum of its proper divisors (16080042688699).

120012312300101 is a wasteful number, since it uses less digits than its factorization.

120012312300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164318108.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 120012312300101 its reverse (101003213210021), we get a palindrome (221015525510122).

The spelling of 120012312300101 in words is "one hundred twenty trillion, twelve billion, three hundred twelve million, three hundred thousand, one hundred one".

Divisors: 1 13 19 247 2957 38441 56183 730379 164315119 2136096547 3121987261 40585834393 485879806883 6316437489479 9231716330777 120012312300101