Search a number
-
+
122333420000 = 255411250551
BaseRepresentation
bin111000111101110100…
…0111101100111100000
3102200202121220121222102
41301323220331213200
54001014323420000
6132111005425532
711560351625111
oct1617350754740
9380677817872
10122333420000
1147977032100
121b86126b2a8
13b6c776106c
145cc71d4208
1532aec793d5
hex1c7ba3d9e0

122333420000 has 180 divisors, whose sum is σ = 330812237448. Its totient is φ = 44484000000.

The previous prime is 122333419987. The next prime is 122333420009. The reversal of 122333420000 is 24333221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122333420009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2394725 + ... + 2445275.

Almost surely, 2122333420000 is an apocalyptic number.

122333420000 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 122333420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165406118724).

122333420000 is an abundant number, since it is smaller than the sum of its proper divisors (208478817448).

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

122333420000 is an equidigital number, since it uses as much as digits as its factorization.

122333420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50603 (or 50569 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 122333420000 its reverse (24333221), we get a palindrome (122357753221).

The spelling of 122333420000 in words is "one hundred twenty-two billion, three hundred thirty-three million, four hundred twenty thousand".