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121302730414080 = 211335171931431019
BaseRepresentation
bin11011100101001011111110…
…001010000001100000000000
3120220111102112211212220011000
4123211023332022001200000
5111344410442441222310
61105553412142452000
734356555512043465
oct3345137612014000
9526442484786130
10121302730414080
1135718220a65966
1211731346b94000
13528ba4c0c9137
1421d51250c766c
15e0556811c4c0
hex6e52fe281800

121302730414080 has 3072 divisors, whose sum is σ = 508124897280000. Its totient is φ = 27235996139520.

The previous prime is 121302730414069. The next prime is 121302730414087. The reversal of 121302730414080 is 80414037203121.

121302730414080 is a `hidden beast` number, since 1 + 2 + 1 + 302 + 7 + 304 + 1 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121302730414087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 119040951811 + ... + 119040952829.

It is an arithmetic number, because the mean of its divisors is an integer number (165405240000).

Almost surely, 2121302730414080 is an apocalyptic number.

121302730414080 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 121302730414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254062448640000).

121302730414080 is an abundant number, since it is smaller than the sum of its proper divisors (386822166865920).

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

121302730414080 is a wasteful number, since it uses less digits than its factorization.

121302730414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 121302730414080 in words is "one hundred twenty-one trillion, three hundred two billion, seven hundred thirty million, four hundred fourteen thousand, eighty".