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12423134332032 = 27359550799571
BaseRepresentation
bin1011010011000111110010…
…0000100100010010000000
31121222122021120222022021120
42310301330200210102000
53112020034342111112
642231035323152240
72421353564335464
oct264617440442200
947878246868246
1012423134332032
113a5a692507276
12148782a675680
136c165bb91598
1430d3d643a4a4
1516824a810e8c
hexb4c7c824480

12423134332032 has 128 divisors (see below), whose sum is σ = 33564685651200. Its totient is φ = 4070077486080.

The previous prime is 12423134332027. The next prime is 12423134332033. The reversal of 12423134332032 is 23023343132421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12423134331984 and 12423134332002.

It is not an unprimeable number, because it can be changed into a prime (12423134332033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124716807 + ... + 124816377.

It is an arithmetic number, because the mean of its divisors is an integer number (262224106650).

Almost surely, 212423134332032 is an apocalyptic number.

12423134332032 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 12423134332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16782342825600).

12423134332032 is an abundant number, since it is smaller than the sum of its proper divisors (21141551319168).

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

12423134332032 is an equidigital number, since it uses as much as digits as its factorization.

12423134332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105154 (or 105142 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 12423134332032 its reverse (23023343132421), we get a palindrome (35446477464453).

The spelling of 12423134332032 in words is "twelve trillion, four hundred twenty-three billion, one hundred thirty-four million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1888 2832 3776 5507 5664 7552 11014 11328 16521 22028 22656 33042 44056 66084 88112 99571 132168 176224 199142 264336 298713 324913 352448 398284 528672 597426 649826 704896 796568 974739 1057344 1194852 1299652 1593136 1949478 2114688 2389704 2599304 3186272 3898956 4779408 5198608 5874689 6372544 7797912 9558816 10397216 11749378 12745088 15595824 17624067 19117632 20794432 23498756 31191648 35248134 38235264 41588864 46997512 62383296 70496268 93995024 124766592 140992536 187990048 281985072 375980096 548337497 563970144 751960192 1096674994 1127940288 1645012491 2193349988 2255880576 3290024982 4386699976 6580049964 8773399952 13160099928 17546799904 26320199856 32351912323 35093599808 52640399712 64703824646 70187199616 97055736969 105280799424 129407649292 194111473938 210561598848 258815298584 388222947876 517630597168 776445895752 1035261194336 1552891791504 2070522388672 3105783583008 4141044777344 6211567166016 12423134332032