Search a number
-
+
122442003000 = 2333534796487
BaseRepresentation
bin111001000001000011…
…1001011001000111000
3102201001012020012212000
41302002013023020320
54001230123044000
6132125445021000
711563140565452
oct1620207131070
9381035205760
10122442003000
1147a22356119
121b8916b4760
13b7140bb465
145cd77bb2d2
1532b9577000
hex1c821cb238

122442003000 has 256 divisors, whose sum is σ = 433501286400. Its totient is φ = 31956163200.

The previous prime is 122442002987. The next prime is 122442003071. The reversal of 122442003000 is 300244221.

122442003000 is a `hidden beast` number, since 122 + 44 + 200 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1220757 + ... + 1317243.

It is an arithmetic number, because the mean of its divisors is an integer number (1693364400).

Almost surely, 2122442003000 is an apocalyptic number.

122442003000 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 122442003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216750643200).

122442003000 is an abundant number, since it is smaller than the sum of its proper divisors (311059283400).

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

122442003000 is a wasteful number, since it uses less digits than its factorization.

122442003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96564 (or 96544 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 122442003000 its reverse (300244221), we get a palindrome (122742247221).

The spelling of 122442003000 in words is "one hundred twenty-two billion, four hundred forty-two million, three thousand".