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121343225405040 = 243352511229182111
BaseRepresentation
bin11011100101110001101011…
…110110001001111001110000
3120220122022002000100120121000
4123211301223312021321300
5111401041411200430130
61110024150323002000
734362521146556562
oct3345615366117160
9526568060316530
10121343225405040
1135733411369a41
1211739168809300
13529280389b852
1421d7087305332
15e066382cd260
hex6e5c6bd89e70

121343225405040 has 320 divisors, whose sum is σ = 419968920268800. Its totient is φ = 32202875520000.

The previous prime is 121343225405033. The next prime is 121343225405113. The reversal of 121343225405040 is 40504522343121.

It is a happy number.

121343225405040 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 4 + 3 + 22 + 540 + 50 + 40 = 666.

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 = 121343225404986 and 121343225405004.

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, 666223585 + ... + 666405695.

It is an arithmetic number, because the mean of its divisors is an integer number (1312402875840).

Almost surely, 2121343225405040 is an apocalyptic number.

121343225405040 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 121343225405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209984460134400).

121343225405040 is an abundant number, since it is smaller than the sum of its proper divisors (298625694863760).

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

121343225405040 is a wasteful number, since it uses less digits than its factorization.

121343225405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183613 (or 183601 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 121343225405040 its reverse (40504522343121), we get a palindrome (161847747748161).

The spelling of 121343225405040 in words is "one hundred twenty-one trillion, three hundred forty-three billion, two hundred twenty-five million, four hundred five thousand, forty".