Search a number
-
+
121503088080 = 243251123667013
BaseRepresentation
bin111000100101000100…
…1011111110111010000
3102121121202111101201100
41301022021133313100
53442314242304310
6131452344504400
711530650131253
oct1611211376720
9377552441640
10121503088080
1147590364480
121b66b17b100
13b5c471b0ba
145c48c1109a
153261e0eec0
hex1c4a25fdd0

121503088080 has 240 divisors, whose sum is σ = 464497877376. Its totient is φ = 28174586880.

The previous prime is 121503088079. The next prime is 121503088081. The reversal of 121503088080 is 80880305121.

It is an interprime number because it is at equal distance from previous prime (121503088079) and next prime (121503088081).

It is a tau number, because it is divible by the number of its divisors (240).

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 (121503088081) 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 47 ways as a sum of consecutive naturals, for example, 151347 + ... + 515666.

Almost surely, 2121503088080 is an apocalyptic number.

121503088080 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 121503088080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232248938688).

121503088080 is an abundant number, since it is smaller than the sum of its proper divisors (342994789296).

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

121503088080 is a wasteful number, since it uses less digits than its factorization.

121503088080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667066 (or 667057 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 121503088080 in words is "one hundred twenty-one billion, five hundred three million, eighty-eight thousand, eighty".