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12267366150401 = 174201171770953
BaseRepresentation
bin1011001010000011100000…
…0000000111000100000001
31121102202012211122210202022
42302200320000013010001
53101442031213303101
642031314502331225
72404200524544245
oct262407000070401
947382184583668
1012267366150401
1139aa61942296a
1214615b8129b15
136aca665911cb
14305a5a982425
1516418063aa1b
hexb2838007101

12267366150401 has 8 divisors (see below), whose sum is σ = 12992067876744. Its totient is φ = 11543007974400.

The previous prime is 12267366150373. The next prime is 12267366150419. The reversal of 12267366150401 is 10405166376221.

It is a Cunningham number, because it is equal to 35024802+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 12267366150400 = 1^2 + 3502480^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12267366150401 - 210 = 12267366149377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12267366150451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85814060 + ... + 85956893.

It is an arithmetic number, because the mean of its divisors is an integer number (1624008484593).

Almost surely, 212267366150401 is an apocalyptic number.

It is an amenable number.

12267366150401 is a deficient number, since it is larger than the sum of its proper divisors (724701726343).

12267366150401 is a wasteful number, since it uses less digits than its factorization.

12267366150401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171775171.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 12267366150401 in words is "twelve trillion, two hundred sixty-seven billion, three hundred sixty-six million, one hundred fifty thousand, four hundred one".

Divisors: 1 17 4201 71417 171770953 2920106201 721609773553 12267366150401