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12023102002032 = 24321129261735937
BaseRepresentation
bin1010111011110101100010…
…1110010101001101110000
31120120101201122120101212100
42232331120232111031300
53033441303103031112
641323200430100400
72350432450543062
oct256753056251560
946511648511770
1012023102002032
113915a72702970
1214221a864a700
13692a09943884
142d7cc7c5d732
1515cb3617d2dc
hexaef58b95370

12023102002032 has 120 divisors (see below), whose sum is σ = 37972649885040. Its totient is φ = 3517730979840.

The previous prime is 12023102002031. The next prime is 12023102002033. The reversal of 12023102002032 is 23020020132021.

12023102002032 is a `hidden beast` number, since 120 + 2 + 310 + 200 + 2 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (12023102002031) and next prime (12023102002033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12023102001996 and 12023102002014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023102002031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130822033 + ... + 130913904.

It is an arithmetic number, because the mean of its divisors is an integer number (316438749042).

Almost surely, 212023102002032 is an apocalyptic number.

12023102002032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12023102002032 is an abundant number, since it is smaller than the sum of its proper divisors (25949547883008).

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

12023102002032 is a wasteful number, since it uses less digits than its factorization.

12023102002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261735991 (or 261735982 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12023102002032 its reverse (23020020132021), we get a palindrome (35043122134053).

The spelling of 12023102002032 in words is "twelve trillion, twenty-three billion, one hundred two million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 116 132 144 174 176 198 232 261 264 319 348 396 464 522 528 638 696 792 957 1044 1276 1392 1584 1914 2088 2552 2871 3828 4176 5104 5742 7656 11484 15312 22968 45936 261735937 523471874 785207811 1046943748 1570415622 2093887496 2355623433 2879095307 3140831244 4187774992 4711246866 5758190614 6281662488 7590342173 8637285921 9422493732 11516381228 12563324976 15180684346 17274571842 18844987464 22771026519 23032762456 25911857763 30361368692 34549143684 37689974928 45542053038 46065524912 51823715526 60722737384 68313079557 69098287368 83493763903 91084106076 103647431052 121445474768 136626159114 138196574736 166987527806 182168212152 207294862104 250481291709 273252318228 333975055612 364336424304 414589724208 500962583418 546504636456 667950111224 751443875127 1001925166836 1093009272912 1335900222448 1502887750254 2003850333672 3005775500508 4007700667344 6011551001016 12023102002032