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121063236323040 = 253451121931131071
BaseRepresentation
bin11011100001101100111011…
…001100100100011011100000
3120212122112101002111111210000
4123201230323030210123200
5111332000001444314130
61105251403305140000
734333346565623064
oct3341547314443340
9525575332444700
10121063236323040
11356356a2879600
12116b2a48a8a600
1352722a279b22b
1421c76c5acbaa4
15dee1ec7e5260
hex6e1b3b3246e0

121063236323040 has 1440 divisors, whose sum is σ = 510291943096320. Its totient is φ = 26906888448000.

The previous prime is 121063236322999. The next prime is 121063236323047. The reversal of 121063236323040 is 40323632360121.

121063236323040 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 6 + 323 + 6 + 323 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121063236322986 and 121063236323004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121063236323047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 923580705 + ... + 923711775.

It is an arithmetic number, because the mean of its divisors is an integer number (354369404928).

Almost surely, 2121063236323040 is an apocalyptic number.

121063236323040 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 121063236323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255145971548160).

121063236323040 is an abundant number, since it is smaller than the sum of its proper divisors (389228706773280).

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

121063236323040 is a wasteful number, since it uses less digits than its factorization.

121063236323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131170 (or 131142 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 121063236323040 its reverse (40323632360121), we get a palindrome (161386868683161).

The spelling of 121063236323040 in words is "one hundred twenty-one trillion, sixty-three billion, two hundred thirty-six million, three hundred twenty-three thousand, forty".