Search a number
-
+
12311123300124 = 22311229937434659
BaseRepresentation
bin1011001100100110100000…
…1000011000111100011100
31121120221011100110022202020
42303021220020120330130
53103201140031100444
642103352454100140
72410310053305315
oct263115010307434
947527140408666
1012311123300124
113a17133175120
121469b8a34a650
136b3c1ab56b8c
14307c0c12960c
15165391dc7119
hexb3268218f1c

12311123300124 has 96 divisors (see below), whose sum is σ = 31507912262400. Its totient is φ = 3710379778560.

The previous prime is 12311123300087. The next prime is 12311123300137. The reversal of 12311123300124 is 42100332111321.

It is a junction number, because it is equal to n+sod(n) for n = 12311123300094 and 12311123300103.

It is a congruent number.

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, 28106307 + ... + 28540965.

It is an arithmetic number, because the mean of its divisors is an integer number (328207419400).

Almost surely, 212311123300124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311123300124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753956131200).

12311123300124 is an abundant number, since it is smaller than the sum of its proper divisors (19196788962276).

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

12311123300124 is a wasteful number, since it uses less digits than its factorization.

12311123300124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435843 (or 435841 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12311123300124 its reverse (42100332111321), we get a palindrome (54411455411445).

The spelling of 12311123300124 in words is "twelve trillion, three hundred eleven billion, one hundred twenty-three million, three hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 229 458 687 916 937 1374 1874 2519 2748 2811 3748 5038 5622 7557 10076 10307 11244 15114 20614 30228 30921 41228 61842 123684 214573 429146 434659 643719 858292 869318 1287438 1303977 1738636 2360303 2574876 2607954 4720606 4781249 5215908 7080909 9441212 9562498 14161818 14343747 19124996 28323636 28687494 57374988 99536911 199073822 298610733 398147644 407275483 597221466 814550966 1094906021 1194442932 1221826449 1629101932 2189812042 2443652898 3284718063 4379624084 4480030313 4887305796 6569436126 8960060626 13138872252 13440090939 17920121252 26880181878 53760363756 93266085607 186532171214 279798256821 373064342428 559596513642 1025926941677 1119193027284 2051853883354 3077780825031 4103707766708 6155561650062 12311123300124