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121342520040 = 23357331611559
BaseRepresentation
bin111000100000010010…
…0111110101011101000
3102121012120100200202220
41301000210332223220
53442002141120130
6131424411154040
711523660255000
oct1610044765350
9377176320686
10121342520040
1147508764315
121b625445920
13b59a38bc21
145c31775000
153252c94410
hex1c4093eae8

121342520040 has 512 divisors, whose sum is σ = 445685760000. Its totient is φ = 26383795200.

The previous prime is 121342520023. The next prime is 121342520077. The reversal of 121342520040 is 40025243121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77832781 + ... + 77834339.

It is an arithmetic number, because the mean of its divisors is an integer number (870480000).

Almost surely, 2121342520040 is an apocalyptic number.

121342520040 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 121342520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222842880000).

121342520040 is an abundant number, since it is smaller than the sum of its proper divisors (324343239960).

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

121342520040 is a wasteful number, since it uses less digits than its factorization.

121342520040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 121342520040 its reverse (40025243121), we get a palindrome (161367763161).

The spelling of 121342520040 in words is "one hundred twenty-one billion, three hundred forty-two million, five hundred twenty thousand, forty".