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12323122440 = 2335641160207
BaseRepresentation
bin10110111101000001…
…11110110100001000
31011210211010111000020
423132200332310020
5200214204404230
65354451140440
7614243545446
oct133640766410
934724114006
1012323122440
115254099312
12247aba4720
13121509a035
1484c8cdb96
154c1cea810
hex2de83ed08

12323122440 has 64 divisors (see below), whose sum is σ = 37027272960. Its totient is φ = 3281018880.

The previous prime is 12323122439. The next prime is 12323122457. The reversal of 12323122440 is 4422132321.

It is a happy number.

12323122440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12323122440.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3184 + ... + 157023.

It is an arithmetic number, because the mean of its divisors is an integer number (578551140).

Almost surely, 212323122440 is an apocalyptic number.

12323122440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12323122440 is an abundant number, since it is smaller than the sum of its proper divisors (24704150520).

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

12323122440 is a wasteful number, since it uses less digits than its factorization.

12323122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160862 (or 160858 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12323122440 its reverse (4422132321), we get a palindrome (16745254761).

The spelling of 12323122440 in words is "twelve billion, three hundred twenty-three million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 641 1282 1923 2564 3205 3846 5128 6410 7692 9615 12820 15384 19230 25640 38460 76920 160207 320414 480621 640828 801035 961242 1281656 1602070 1922484 2403105 3204140 3844968 4806210 6408280 9612420 19224840 102692687 205385374 308078061 410770748 513463435 616156122 821541496 1026926870 1232312244 1540390305 2053853740 2464624488 3080780610 4107707480 6161561220 12323122440