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12322141401320 = 2351557771977529
BaseRepresentation
bin1011001101001111100011…
…0111000111000011101000
31121121222121012221212011022
42303103320313013003220
53103341221144320240
642112414050152012
72411150102521322
oct263237067070350
947558535855138
1012322141401320
113a20877646683
121470144282608
136b4c8574b59a
1430857558c612
151657d933e9b5
hexb34f8dc70e8

12322141401320 has 32 divisors (see below), whose sum is σ = 27725010150600. Its totient is φ = 4928822427648.

The previous prime is 12322141401301. The next prime is 12322141401341. The reversal of 12322141401320 is 2310414122321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5362179347044 + 6959962054276 = 2315638^2 + 2638174^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12322141401320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5242316 + ... + 7219844.

Almost surely, 212322141401320 is an apocalyptic number.

12322141401320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322141401320 is an abundant number, since it is smaller than the sum of its proper divisors (15402868749280).

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

12322141401320 is a wasteful number, since it uses less digits than its factorization.

12322141401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133317 (or 2133313 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 12322141401320 its reverse (2310414122321), we get a palindrome (14632555523641).

The spelling of 12322141401320 in words is "twelve trillion, three hundred twenty-two billion, one hundred forty-one million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 155777 311554 623108 778885 1246216 1557770 1977529 3115540 3955058 6231080 7910116 9887645 15820232 19775290 39550580 79101160 308053535033 616107070066 1232214140132 1540267675165 2464428280264 3080535350330 6161070700660 12322141401320