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12122344120224 = 253139713416763
BaseRepresentation
bin1011000001100111010000…
…0000111101111110100000
31120220212220000010100201110
42300121310000331332200
53042103030043321344
641440532241103320
72360544662614452
oct260316400757640
946825800110643
1012122344120224
11395406a255168
121439484627b40
1369c194429130
142dca2039a2d2
151604e3ab03b9
hexb067403dfa0

12122344120224 has 48 divisors (see below), whose sum is σ = 34268934343392. Its totient is φ = 3729952036608.

The previous prime is 12122344120199. The next prime is 12122344120241. The reversal of 12122344120224 is 42202144322121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12122344120191 and 12122344120200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4856707134 + ... + 4856709629.

It is an arithmetic number, because the mean of its divisors is an integer number (713936132154).

Almost surely, 212122344120224 is an apocalyptic number.

It is an amenable number.

12122344120224 is an abundant number, since it is smaller than the sum of its proper divisors (22146590223168).

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

12122344120224 is a wasteful number, since it uses less digits than its factorization.

12122344120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713416789 (or 9713416781 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12122344120224 its reverse (42202144322121), we get a palindrome (54324488442345).

The spelling of 12122344120224 in words is "twelve trillion, one hundred twenty-two billion, three hundred forty-four million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9713416763 19426833526 29140250289 38853667052 58280500578 77707334104 116561001156 126274417919 155414668208 233122002312 252548835838 310829336416 378823253757 466244004624 505097671676 757646507514 932488009248 1010195343352 1515293015028 2020390686704 3030586030056 4040781373408 6061172060112 12122344120224