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12011201212101 = 3721313147979361
BaseRepresentation
bin1010111011001001001101…
…1000011010111011000101
31120112021000021010122010220
42232302103120122323011
53033242420002241401
641313511502534553
72346531522521400
oct256622330327305
946467007118126
1012011201212101
113910a15a53293
12141ba26b97459
13691861207140
142d74b94a8d37
1515c68b4a8336
hexaec9361aec5

12011201212101 has 48 divisors (see below), whose sum is σ = 20215816302528. Its totient is φ = 6287215334400.

The previous prime is 12011201212061. The next prime is 12011201212117. The reversal of 12011201212101 is 10121210211021.

It is a happy number.

It is not a de Polignac number, because 12011201212101 - 219 = 12011200687813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011201212601) 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 47 ways as a sum of consecutive naturals, for example, 23739340 + ... + 24240021.

It is an arithmetic number, because the mean of its divisors is an integer number (421162839636).

Almost surely, 212011201212101 is an apocalyptic number.

It is an amenable number.

12011201212101 is a deficient number, since it is larger than the sum of its proper divisors (8204615090427).

12011201212101 is a wasteful number, since it uses less digits than its factorization.

12011201212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47979522 (or 47979515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12011201212101 its reverse (10121210211021), we get a palindrome (22132411423122).

The spelling of 12011201212101 in words is "twelve trillion, eleven billion, two hundred one million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 7 13 21 39 49 91 131 147 273 393 637 917 1703 1911 2751 5109 6419 11921 19257 35763 83447 250341 47979361 143938083 335855527 623731693 1007566581 1871195079 2350988689 4366121851 6285296291 7052966067 13098365553 18855888873 30562852957 43997074037 81708851783 91688558871 131991222111 245126555349 307979518259 571961962481 923938554777 1715885887443 4003733737367 12011201212101