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12324122301344 = 257449122535419
BaseRepresentation
bin1011001101010110111011…
…1011101001001110100000
31121122011201021101000010212
42303111232323221032200
53103404300302120334
642113342411513252
72411250145063130
oct263255673511640
947564637330125
1012324122301344
113a216a3828137
1214705b7758828
136b520cc69089
143086c26b4ac0
151658a31ccece
hexb356eee93a0

12324122301344 has 48 divisors (see below), whose sum is σ = 27791033256000. Its totient is φ = 5270003257344.

The previous prime is 12324122301263. The next prime is 12324122301347. The reversal of 12324122301344 is 44310322142321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12324122301344.

It is not an unprimeable number, because it can be changed into a prime (12324122301347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61167134 + ... + 61368285.

It is an arithmetic number, because the mean of its divisors is an integer number (578979859500).

Almost surely, 212324122301344 is an apocalyptic number.

12324122301344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12324122301344 is an abundant number, since it is smaller than the sum of its proper divisors (15466910954656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12324122301344 is a wasteful number, since it uses less digits than its factorization.

12324122301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122535885 (or 122535877 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 12324122301344 its reverse (44310322142321), we get a palindrome (56634444443665).

The spelling of 12324122301344 in words is "twelve trillion, three hundred twenty-four billion, one hundred twenty-two million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 449 898 1796 3143 3592 6286 7184 12572 14368 25144 50288 100576 122535419 245070838 490141676 857747933 980283352 1715495866 1960566704 3430991732 3921133408 6861983464 13723966928 27447933856 55018403131 110036806262 220073612524 385128821917 440147225048 770257643834 880294450096 1540515287668 1760588900192 3081030575336 6162061150672 12324122301344