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121020461856 = 25377235291
BaseRepresentation
bin111000010110101100…
…0011011001100100000
3102120101010100110000000
41300231120123030200
53440322214234411
6131332424300000
711512666644600
oct1605530331440
9376333313000
10121020461856
1147362994228
121b555611600
13b548739c58
145c00a9cc00
153234879956
hex1c2d61b320

121020461856 has 288 divisors, whose sum is σ = 415686116160. Its totient is φ = 34576295040.

The previous prime is 121020461851. The next prime is 121020461857. The reversal of 121020461856 is 658164020121.

It is a happy number.

121020461856 is a `hidden beast` number, since 1 + 2 + 10 + 20 + 4 + 618 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 121020461856.

It is not an unprimeable number, because it can be changed into a prime (121020461851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3411571 + ... + 3446861.

It is an arithmetic number, because the mean of its divisors is an integer number (1443354570).

Almost surely, 2121020461856 is an apocalyptic number.

121020461856 is a gapful number since it is divisible by the number (16) 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 121020461856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207843058080).

121020461856 is an abundant number, since it is smaller than the sum of its proper divisors (294665654304).

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

121020461856 is an frugal number, since it uses more digits than its factorization.

121020461856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35336 (or 35303 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 121020461856 its reverse (658164020121), we get a palindrome (779184481977).

The spelling of 121020461856 in words is "one hundred twenty-one billion, twenty million, four hundred sixty-one thousand, eight hundred fifty-six".