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12432144123421 = 115783888721991
BaseRepresentation
bin1011010011101001010110…
…0010001100011000011101
31122000111112111111010112221
42310322111202030120131
53112142012343422141
642235125334225341
72422123056320041
oct264722542143035
948014474433487
1012432144123421
113a63496285960
121489523ab5251
136c246668c4a9
1430da0cc80021
151685c67c3bd1
hexb4e9588c61d

12432144123421 has 16 divisors (see below), whose sum is σ = 13566827501568. Its totient is φ = 11298209554800.

The previous prime is 12432144123407. The next prime is 12432144123457.

12432144123421 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12432144123421 - 25 = 12432144123389 is a prime.

It is a super-2 number, since 2×124321441234212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432144123121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565317736 + ... + 565339726.

It is an arithmetic number, because the mean of its divisors is an integer number (847926718848).

Almost surely, 212432144123421 is an apocalyptic number.

12432144123421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12432144123421 is a deficient number, since it is larger than the sum of its proper divisors (1134683378147).

12432144123421 is a wasteful number, since it uses less digits than its factorization.

12432144123421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36672.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 1243214 and 4123421, that added together give a palindrome (5366635).

The spelling of 12432144123421 in words is "twelve trillion, four hundred thirty-two billion, one hundred forty-four million, one hundred twenty-three thousand, four hundred twenty-one".

Divisors: 1 11 5783 8887 21991 63613 97757 241901 51393521 127173953 195434017 565328731 1398913483 2149774187 1130194920311 12432144123421