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12122411422120 = 235734151510761
BaseRepresentation
bin1011000001100111100000…
…0001101101000110101000
31120220220001200202122120021
42300121320001231012220
53042103144311001440
641440543043410224
72360546440643056
oct260317001550650
946826050678507
1012122411422120
1139540a424306a
1214394a3083974
1369c1a536183c
142dca292b91d6
151604e995684a
hexb067806d1a8

12122411422120 has 32 divisors (see below), whose sum is σ = 27649061674920. Its totient is φ = 4782540395520.

The previous prime is 12122411422087. The next prime is 12122411422123. The reversal of 12122411422120 is 2122411422121.

It can be written as a sum of positive squares in 4 ways, for example, as 11713602080196 + 408809341924 = 3422514^2 + 639382^2 .

It is not an unprimeable number, because it can be changed into a prime (12122411422123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2075752461 + ... + 2075758300.

Almost surely, 212122411422120 is an apocalyptic number.

12122411422120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122411422120 is an abundant number, since it is smaller than the sum of its proper divisors (15526650252800).

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

12122411422120 is a wasteful number, since it uses less digits than its factorization.

12122411422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151510845 (or 4151510841 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 12122411422120 its reverse (2122411422121), we get a palindrome (14244822844241).

Subtracting from 12122411422120 its reverse (2122411422121), we obtain a palindrome (9999999999999).

The spelling of 12122411422120 in words is "twelve trillion, one hundred twenty-two billion, four hundred eleven million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 4151510761 8303021522 16606043044 20757553805 33212086088 41515107610 83030215220 166060430440 303060285553 606120571106 1212241142212 1515301427765 2424482284424 3030602855530 6061205711060 12122411422120