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1232320134312 = 2333371087141853
BaseRepresentation
bin10001111011101100000…
…000001111110010101000
311100210211111202001022000
4101323230000033302220
5130142242423244222
62342041533131000
7155014020211611
oct21735400176250
94323744661260
101232320134312
114356956533a3
1217a9b9629a60
138c290554537
1443904b62c08
15220c73619ac
hex11eec00fca8

1232320134312 has 128 divisors (see below), whose sum is σ = 3518887065600. Its totient is φ = 399300897024.

The previous prime is 1232320134229. The next prime is 1232320134323. The reversal of 1232320134312 is 2134310232321.

1232320134312 is a `hidden beast` number, since 1 + 2 + 3 + 23 + 201 + 3 + 431 + 2 = 666.

It is a super-2 number, since 2×12323201343122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8616378 + ... + 8758230.

It is an arithmetic number, because the mean of its divisors is an integer number (27491305200).

Almost surely, 21232320134312 is an apocalyptic number.

1232320134312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232320134312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759443532800).

1232320134312 is an abundant number, since it is smaller than the sum of its proper divisors (2286566931288).

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

1232320134312 is a wasteful number, since it uses less digits than its factorization.

1232320134312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142992 (or 142982 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1232320134312 its reverse (2134310232321), we get a palindrome (3366630366633).

The spelling of 1232320134312 in words is "one trillion, two hundred thirty-two billion, three hundred twenty million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1087 1332 1998 2174 2664 3261 3996 4348 6522 7992 8696 9783 13044 19566 26088 29349 39132 40219 58698 78264 80438 117396 120657 141853 160876 234792 241314 283706 321752 361971 425559 482628 567412 723942 851118 965256 1085913 1134824 1276677 1447884 1702236 2171826 2553354 2895768 3404472 3830031 4343652 5106708 5248561 7660062 8687304 10213416 10497122 15320124 15745683 20994244 30640248 31491366 41988488 47237049 62982732 94474098 125965464 141711147 154194211 188948196 283422294 308388422 377896392 462582633 566844588 616776844 925165266 1133689176 1233553688 1387747899 1850330532 2775495798 3700661064 4163243697 5550991596 5705185807 8326487394 11101983192 11410371614 16652974788 17115557421 22820743228 33305949576 34231114842 45641486456 51346672263 68462229684 102693344526 136924459368 154040016789 205386689052 308080033578 410773378104 616160067156 1232320134312