Search a number
-
+
122024032160 = 255762650201
BaseRepresentation
bin111000110100100110…
…0101111011110100000
3102122222001202002122112
41301221030233132200
53444401123012120
6132020154254452
711546604105542
oct1615114573640
9378861662575
10122024032160
1147828426478
121b795727428
13b678627234
145c98099692
153292a13bc5
hex1c6932f7a0

122024032160 has 24 divisors (see below), whose sum is σ = 288281776356. Its totient is φ = 48809612800.

The previous prime is 122024032153. The next prime is 122024032171. The reversal of 122024032160 is 61230420221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118509439504 + 3514592656 = 344252^2 + 59284^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 381324941 + ... + 381325260.

Almost surely, 2122024032160 is an apocalyptic number.

122024032160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122024032160 is an abundant number, since it is smaller than the sum of its proper divisors (166257744196).

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

122024032160 is an equidigital number, since it uses as much as digits as its factorization.

122024032160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762650216 (or 762650208 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 122024032160 its reverse (61230420221), we get a palindrome (183254452381).

The spelling of 122024032160 in words is "one hundred twenty-two billion, twenty-four million, thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 762650201 1525300402 3050600804 3813251005 6101201608 7626502010 12202403216 15253004020 24404806432 30506008040 61012016080 122024032160