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12312023142420 = 2232586637895663
BaseRepresentation
bin1011001100101001110111…
…0001000001000000010100
31121121000111001200001022200
42303022131301001000110
53103210010411024140
642104022040524500
72410341260656251
oct263123561010024
947530431601280
1012312023142420
113a175550a9a41
12146a19b780730
136b40323c6841
14307c95844428
151653e5dc2030
hexb329dc41014

12312023142420 has 72 divisors (see below), whose sum is σ = 37350785961216. Its totient is φ = 3282826763712.

The previous prime is 12312023142337. The next prime is 12312023142451. The reversal of 12312023142420 is 2424132021321.

12312023142420 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 0 + 231 + 4 + 2 + 420 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2388492 + ... + 5507171.

It is an arithmetic number, because the mean of its divisors is an integer number (518760916128).

Almost surely, 212312023142420 is an apocalyptic number.

12312023142420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12312023142420 is an abundant number, since it is smaller than the sum of its proper divisors (25038762818796).

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

12312023142420 is a wasteful number, since it uses less digits than its factorization.

12312023142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7904341 (or 7904336 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12312023142420 its reverse (2424132021321), we get a palindrome (14736155163741).

The spelling of 12312023142420 in words is "twelve trillion, three hundred twelve billion, twenty-three million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8663 17326 25989 34652 43315 51978 77967 86630 103956 129945 155934 173260 259890 311868 389835 519780 779670 1559340 7895663 15791326 23686989 31582652 39478315 47373978 71060967 78956630 94747956 118434945 142121934 157913260 236869890 284243868 355304835 473739780 710609670 1421219340 68400128569 136800257138 205200385707 273600514276 342000642845 410400771414 615601157121 684001285690 820801542828 1026001928535 1231202314242 1368002571380 2052003857070 2462404628484 3078005785605 4104007714140 6156011571210 12312023142420