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12324411213040 = 245413757442443
BaseRepresentation
bin1011001101011000000000…
…1001110000010011110000
31121122012110102000020111001
42303112000021300103300
53103410343232304130
642113431212131344
72411260253561233
oct263260011602360
947565412006431
1012324411213040
113a21831918833
121470678466b54
136b5257a83b44
1430870cbdd41a
151658bd74b6ca
hexb35802704f0

12324411213040 has 40 divisors (see below), whose sum is σ = 29353140372528. Its totient is φ = 4809526325760.

The previous prime is 12324411213011. The next prime is 12324411213043. The reversal of 12324411213040 is 4031211442321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×123244112130402 (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 (12324411213043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1878717942 + ... + 1878724501.

Almost surely, 212324411213040 is an apocalyptic number.

12324411213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12324411213040 is an abundant number, since it is smaller than the sum of its proper divisors (17028729159488).

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

12324411213040 is a wasteful number, since it uses less digits than its factorization.

12324411213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757442497 (or 3757442491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12324411213040 its reverse (4031211442321), we get a palindrome (16355622655361).

The spelling of 12324411213040 in words is "twelve trillion, three hundred twenty-four billion, four hundred eleven million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 3757442443 7514884886 15029769772 18787212215 30059539544 37574424430 60119079088 75148848860 150297697720 154055140163 300595395440 308110280326 616220560652 770275700815 1232441121304 1540551401630 2464882242608 3081102803260 6162205606520 12324411213040