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12142324412401 = 312412707113843
BaseRepresentation
bin1011000010110001101011…
…1011101110111111110001
31120222210110110120100220211
42300230122323232333301
53042414440022144101
641454035024104121
72362153055400241
oct260543273567761
946883413510824
1012142324412401
113961592643427
12144131ba65041
136a10299c3621
142dd997bd1b21
15160cb2c36c51
hexb0b1aeeeff1

12142324412401 has 24 divisors (see below), whose sum is σ = 12857524055712. Its totient is φ = 11459700014400.

The previous prime is 12142324412399. The next prime is 12142324412419. The reversal of 12142324412401 is 10421442324121.

It is not a de Polignac number, because 12142324412401 - 21 = 12142324412399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12142324410401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106601586 + ... + 106715428.

It is an arithmetic number, because the mean of its divisors is an integer number (535730168988).

Almost surely, 212142324412401 is an apocalyptic number.

It is an amenable number.

12142324412401 is a deficient number, since it is larger than the sum of its proper divisors (715199643311).

12142324412401 is a wasteful number, since it uses less digits than its factorization.

12142324412401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116653 (or 116622 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 12142324412401 its reverse (10421442324121), we get a palindrome (22563766736522).

The spelling of 12142324412401 in words is "twelve trillion, one hundred forty-two billion, three hundred twenty-four million, four hundred twelve thousand, four hundred one".

Divisors: 1 31 41 961 1271 2707 39401 83917 110987 113843 2601427 3440597 3529133 4667563 106658507 109403123 144694453 308173001 4485528043 9553363031 12635093041 296154253961 391687884271 12142324412401