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122434241201232 = 24318892969454799
BaseRepresentation
bin11011110101101001110001…
…011101001000010001010000
3121001111121011210001111121120
4123311221301131020101100
5112021430311221414412
61112221303001522240
734534403430043242
oct3365516135102120
9531447153044546
10122434241201232
1136014085338704
12118946ab7a3380
13534166526769c
142233bc550a092
15e24be0172b8c
hex6f5a71748450

122434241201232 has 80 divisors (see below), whose sum is σ = 316563176160000. Its totient is φ = 40775980736512.

The previous prime is 122434241201231. The next prime is 122434241201257. The reversal of 122434241201232 is 232102142434221.

It is a junction number, because it is equal to n+sod(n) for n = 122434241201193 and 122434241201202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122434241201231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268977769 + ... + 269432567.

It is an arithmetic number, because the mean of its divisors is an integer number (3957039702000).

Almost surely, 2122434241201232 is an apocalyptic number.

122434241201232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122434241201232 is an abundant number, since it is smaller than the sum of its proper divisors (194128934958768).

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

122434241201232 is a wasteful number, since it uses less digits than its factorization.

122434241201232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459668 (or 459662 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 122434241201232 its reverse (232102142434221), we get a palindrome (354536383635453).

The spelling of 122434241201232 in words is "one hundred twenty-two trillion, four hundred thirty-four billion, two hundred forty-one million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1889 2969 3778 5667 5938 7556 8907 11334 11876 15112 17814 22668 23752 30224 35628 45336 47504 71256 90672 142512 454799 909598 1364397 1819196 2728794 3638392 5457588 5608441 7276784 10915176 11216882 16825323 21830352 22433764 33650646 44867528 67301292 89735056 134602584 269205168 859115311 1350298231 1718230622 2577345933 2700596462 3436461244 4050894693 5154691866 5401192924 6872922488 8101789386 10309383732 10802385848 13745844976 16203578772 20618767464 21604771696 32407157544 41237534928 64814315088 2550713358359 5101426716718 7652140075077 10202853433436 15304280150154 20405706866872 30608560300308 40811413733744 61217120600616 122434241201232