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12201541240431 = 334937693092017
BaseRepresentation
bin1011000110001110010010…
…0010000000011001101111
31121012110022101110220200210
42301203210202000121233
53044402224024143211
641541151034153503
72366350365206604
oct261434442003157
947173271426623
1012201541240431
11398470aa33824
1214508a7582893
136a67a611033a
143027b465a6ab
151625cb8389a6
hexb18e488066f

12201541240431 has 16 divisors (see below), whose sum is σ = 16319671004000. Its totient is φ = 8108898536448.

The previous prime is 12201541240411. The next prime is 12201541240433. The reversal of 12201541240431 is 13404214510221.

It is not a de Polignac number, because 12201541240431 - 26 = 12201541240367 is a prime.

It is a super-2 number, since 2×122015412404312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201541240433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400135 + ... + 5492151.

It is an arithmetic number, because the mean of its divisors is an integer number (1019979437750).

Almost surely, 212201541240431 is an apocalyptic number.

12201541240431 is a deficient number, since it is larger than the sum of its proper divisors (4118129763569).

12201541240431 is a wasteful number, since it uses less digits than its factorization.

12201541240431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096138.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 12201541240431 its reverse (13404214510221), we get a palindrome (25605755750652).

The spelling of 12201541240431 in words is "twelve trillion, two hundred one billion, five hundred forty-one million, two hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 349 1047 3769 11307 1315381 3092017 3946143 9276051 1079113933 3237341799 11653812073 34961436219 4067180413477 12201541240431