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122421523103040 = 26357443295713907
BaseRepresentation
bin11011110101011101111011…
…011001011011110101000000
3121001110101100102201011201210
4123311131323121123311000
5112021223234403244130
61112211401000530120
734533443316016620
oct3365357331336500
9531411312634653
10122421523103040
11360097492a6257
1211892140480940
1353403b93c7bb5
14223333a3a2880
15e246e88575b0
hex6f577b65bd40

122421523103040 has 448 divisors, whose sum is σ = 445400573036544. Its totient is φ = 27907449004032.

The previous prime is 122421523103039. The next prime is 122421523103057. The reversal of 122421523103040 is 40301325124221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 122421523102989 and 122421523103007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8802863767 + ... + 8802877673.

Almost surely, 2122421523103040 is an apocalyptic number.

122421523103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122421523103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222700286518272).

122421523103040 is an abundant number, since it is smaller than the sum of its proper divisors (322979049933504).

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

122421523103040 is a wasteful number, since it uses less digits than its factorization.

122421523103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17334 (or 17324 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 122421523103040 its reverse (40301325124221), we get a palindrome (162722848227261).

The spelling of 122421523103040 in words is "one hundred twenty-two trillion, four hundred twenty-one billion, five hundred twenty-three million, one hundred three thousand, forty".