Search a number
-
+
12322022212320 = 253537693807557
BaseRepresentation
bin1011001101001111000111…
…0000011100001011100000
31121121222021220200102120220
42303103301300130023200
53103341000141243240
642112354151403040
72411144124445452
oct263236160341340
947558256612526
1012322022212320
113a20816339177
121470110383480
136b4c66b49852
143085638042d2
151657cdb495d0
hexb34f1c1c2e0

12322022212320 has 96 divisors (see below), whose sum is σ = 39863407052448. Its totient is φ = 3197065218048.

The previous prime is 12322022212319. The next prime is 12322022212337. The reversal of 12322022212320 is 2321222022321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×123220222123203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346886019 + ... + 346921538.

It is an arithmetic number, because the mean of its divisors is an integer number (415243823463).

Almost surely, 212322022212320 is an apocalyptic number.

12322022212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322022212320 is an abundant number, since it is smaller than the sum of its proper divisors (27541384840128).

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

12322022212320 is a wasteful number, since it uses less digits than its factorization.

12322022212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693807612 (or 693807604 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12322022212320 its reverse (2321222022321), we get a palindrome (14643244234641).

The spelling of 12322022212320 in words is "twelve trillion, three hundred twenty-two billion, twenty-two million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 693807557 1387615114 2081422671 2775230228 3469037785 4162845342 5550460456 6938075570 8325690684 10407113355 11100920912 13876151140 16651381368 20814226710 22201841824 25670879609 27752302280 33302762736 41628453420 51341759218 55504604560 66605525472 77012638827 83256906840 102683518436 111009209120 128354398045 154025277654 166513813680 205367036872 256708796090 308050555308 333027627360 385063194135 410734073744 513417592180 616101110616 770126388270 821468147488 1026835184360 1232202221232 1540252776540 2053670368720 2464404442464 3080505553080 4107340737440 6161011106160 12322022212320