Search a number
-
+
120730569120 = 25335719210127
BaseRepresentation
bin111000001110000011…
…0100100100110100000
3102112121220212100221000
41300130012210212200
53434224011202440
6131243551032000
711502546622350
oct1603406444640
9375556770830
10120730569120
1147224293557
121b49450b600
13b50066a7a5
145bb439ab60
1532191b5730
hex1c1c1a49a0

120730569120 has 384 divisors, whose sum is σ = 508341657600. Its totient is φ = 26143036416.

The previous prime is 120730569109. The next prime is 120730569137. The reversal of 120730569120 is 21965037021.

120730569120 is a `hidden beast` number, since 1 + 2 + 0 + 73 + 0 + 569 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 469497 + ... + 679623.

It is an arithmetic number, because the mean of its divisors is an integer number (1323806400).

Almost surely, 2120730569120 is an apocalyptic number.

120730569120 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 120730569120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254170828800).

120730569120 is an abundant number, since it is smaller than the sum of its proper divisors (387611088480).

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

120730569120 is a wasteful number, since it uses less digits than its factorization.

120730569120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210177 (or 210163 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 120730569120 in words is "one hundred twenty billion, seven hundred thirty million, five hundred sixty-nine thousand, one hundred twenty".