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12312220141233 = 341371636806803
BaseRepresentation
bin1011001100101010100110…
…0000100000011010110001
31121121000222210100121220000
42303022221200200122301
53103210411324004413
642104053355140213
72410346202303645
oct263125140403261
947530883317800
1012312220141233
113a17646322081
12146a235744669
136b406416ca9c
14307cb3a84c25
15165408337073
hexb32a98206b1

12312220141233 has 40 divisors (see below), whose sum is σ = 18640242163488. Its totient is φ = 8098242929856.

The previous prime is 12312220141213. The next prime is 12312220141283. The reversal of 12312220141233 is 33214102221321.

12312220141233 is a `hidden beast` number, since 1 + 2 + 3 + 12 + 2 + 201 + 412 + 33 = 666.

It is not a de Polignac number, because 12312220141233 - 216 = 12312220075697 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 12312220141197 and 12312220141206.

It is not an unprimeable number, because it can be changed into a prime (12312220141213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1594591 + ... + 5212212.

Almost surely, 212312220141233 is an apocalyptic number.

It is an amenable number.

12312220141233 is a deficient number, since it is larger than the sum of its proper divisors (6328022022255).

12312220141233 is a wasteful number, since it uses less digits than its factorization.

12312220141233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807115 (or 6807106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12312220141233 its reverse (33214102221321), we get a palindrome (45526322362554).

The spelling of 12312220141233 in words is "twelve trillion, three hundred twelve billion, two hundred twenty million, one hundred forty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 137 163 411 489 1233 1467 3699 4401 11097 13203 22331 66993 200979 602937 1808811 6806803 20420409 61261227 183783681 551351043 932532011 1109508889 2797596033 3328526667 8392788099 9985580001 25178364297 29956740003 75535092891 89870220009 152002717793 456008153379 1368024460137 4104073380411 12312220141233