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12202220112101 = 172539739338239
BaseRepresentation
bin1011000110010000110011…
…1111101100100011100101
31121012112001200220011112222
42301210030333230203211
53044410121322041401
641541342244522125
72366403250422365
oct261441477544345
947175050804488
1012202220112101
113984a29162098
121450a569b0345
136a6883962856
1430283a8949a5
1516261b235c1b
hexb190cfec8e5

12202220112101 has 16 divisors (see below), whose sum is σ = 12927172723200. Its totient is φ = 11478066259968.

The previous prime is 12202220112053. The next prime is 12202220112133. The reversal of 12202220112101 is 10121102220221.

It is a cyclic number.

It is not a de Polignac number, because 12202220112101 - 218 = 12202219849957 is a prime.

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

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 12202220112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202220112151) 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, 319084940 + ... + 319123178.

It is an arithmetic number, because the mean of its divisors is an integer number (807948295200).

Almost surely, 212202220112101 is an apocalyptic number.

It is an amenable number.

12202220112101 is a deficient number, since it is larger than the sum of its proper divisors (724952611099).

12202220112101 is a wasteful number, since it uses less digits than its factorization.

12202220112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48188.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12202220112101 its reverse (10121102220221), we get a palindrome (22323322332322).

The spelling of 12202220112101 in words is "twelve trillion, two hundred two billion, two hundred twenty million, one hundred twelve thousand, one hundred one".

Divisors: 1 17 2539 7393 38239 43163 125681 650063 18770827 97088821 282700927 319104059 1650509957 4805915759 717777653653 12202220112101