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122312112230431 = 9715158979141587
BaseRepresentation
bin11011110011111000000010…
…000000000101000000011111
3121001001220221101211222012201
4123303320002000011000133
5112012430201212333211
61112045224134112331
734522521106653004
oct3363700200050037
9531056841758181
10122312112230431
1135a77303758292
1211874aa6aab6a7
135332ca0c8aaa6
14222bd1b5358ab
15e219433310c1
hex6f3e0200501f

122312112230431 has 16 divisors (see below), whose sum is σ = 124394414135040. Its totient is φ = 120246611155200.

The previous prime is 122312112230411. The next prime is 122312112230437. The reversal of 122312112230431 is 134032211213221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122312112230431 - 239 = 121762356416543 is a prime.

It is a super-2 number, since 2×1223121122304312 (a number of 29 digits) contains 22 as substring.

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 122312112230431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312112230437) 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, 863794620 + ... + 863936206.

It is an arithmetic number, because the mean of its divisors is an integer number (7774650883440).

Almost surely, 2122312112230431 is an apocalyptic number.

122312112230431 is a deficient number, since it is larger than the sum of its proper divisors (2082301904609).

122312112230431 is a wasteful number, since it uses less digits than its factorization.

122312112230431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200814.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 122312112230431 its reverse (134032211213221), we get a palindrome (256344323443652).

The spelling of 122312112230431 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred twelve million, two hundred thirty thousand, four hundred thirty-one".

Divisors: 1 97 151 14647 58979 141587 5720963 8905829 13733939 21379637 863865413 2073824789 8350659673 810013988281 1260949610623 122312112230431