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12320344220340 = 22351382319192361
BaseRepresentation
bin1011001101001000110110…
…1111011010001010110100
31121121210221222020121022210
42303102031233122022310
53103324031110022330
642111515450253420
72411054420654532
oct263221557321264
947553858217283
1012320344220340
113a20035137a42
12146b922427270
136b4a5a3076a0
14308444a0b152
151657316918b0
hexb348dbda2b4

12320344220340 has 96 divisors (see below), whose sum is σ = 37195718789376. Its totient is φ = 3029015024640.

The previous prime is 12320344220339. The next prime is 12320344220341. The reversal of 12320344220340 is 4302244302321.

It is an interprime number because it is at equal distance from previous prime (12320344220339) and next prime (12320344220341).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12320344220298 and 12320344220307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320344220341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8954241 + ... + 10238120.

It is an arithmetic number, because the mean of its divisors is an integer number (387455404056).

Almost surely, 212320344220340 is an apocalyptic number.

12320344220340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320344220340 is an abundant number, since it is smaller than the sum of its proper divisors (24875374569036).

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

12320344220340 is a wasteful number, since it uses less digits than its factorization.

12320344220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19193209 (or 19193207 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 12320344220340 its reverse (4302244302321), we get a palindrome (16622588522661).

The spelling of 12320344220340 in words is "twelve trillion, three hundred twenty billion, three hundred forty-four million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 823 1646 2469 3292 4115 4938 8230 9876 10699 12345 16460 21398 24690 32097 42796 49380 53495 64194 106990 128388 160485 213980 320970 641940 19192361 38384722 57577083 76769444 95961805 115154166 191923610 230308332 249500693 287885415 383847220 499001386 575770830 748502079 998002772 1151541660 1247503465 1497004158 2495006930 2994008316 3742510395 4990013860 7485020790 14970041580 15795313103 31590626206 47385939309 63181252412 78976565515 94771878618 157953131030 189543757236 205339070339 236929696545 315906262060 410678140678 473859393090 616017211017 821356281356 947718786180 1026695351695 1232034422034 2053390703390 2464068844068 3080086055085 4106781406780 6160172110170 12320344220340