Search a number
-
+
121660680960 = 28325721359281
BaseRepresentation
bin111000101001110001…
…0101010101100000000
3102122000202000221111200
41301103202222230000
53443130113242320
6131520134341200
711534602503600
oct1612342525400
9378022027450
10121660680960
1147661312325
121b6b3aba800
13b61b278020
145c61b14c00
153270b8e290
hex1c538aab00

121660680960 has 1296 divisors, whose sum is σ = 538169093280. Its totient is φ = 25144197120.

The previous prime is 121660680959. The next prime is 121660680979. The reversal of 121660680960 is 69086066121.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 432956020 + ... + 432956300.

It is an arithmetic number, because the mean of its divisors is an integer number (415253930).

Almost surely, 2121660680960 is an apocalyptic number.

121660680960 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 121660680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269084546640).

121660680960 is an abundant number, since it is smaller than the sum of its proper divisors (416508412320).

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

121660680960 is a wasteful number, since it uses less digits than its factorization.

121660680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 121660680960 in words is "one hundred twenty-one billion, six hundred sixty million, six hundred eighty thousand, nine hundred sixty".