Search a number
-
+
121074750720 = 283257211173137
BaseRepresentation
bin111000011000010011…
…1100001010100000000
3102120111220111121022200
41300300213201110000
53440430114010340
6131342044033200
711514226254300
oct1606047412400
9376456447280
10121074750720
11473905a4260
121b56b832800
13b556a67541
145c07d91600
153239500330
hex1c309e1500

121074750720 has 2592 divisors, whose sum is σ = 596729742336. Its totient is φ = 22295347200.

The previous prime is 121074750697. The next prime is 121074750733. The reversal of 121074750720 is 27057470121.

121074750720 is a `hidden beast` number, since 1 + 2 + 107 + 47 + 507 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3272290542 + ... + 3272290578.

It is an arithmetic number, because the mean of its divisors is an integer number (230219808).

Almost surely, 2121074750720 is an apocalyptic number.

121074750720 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 121074750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298364871168).

121074750720 is an abundant number, since it is smaller than the sum of its proper divisors (475654991616).

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

121074750720 is a wasteful number, since it uses less digits than its factorization.

121074750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The spelling of 121074750720 in words is "one hundred twenty-one billion, seventy-four million, seven hundred fifty thousand, seven hundred twenty".