Search a number
-
+
123220200000 = 26355238929
BaseRepresentation
bin111001011000001111…
…1110000101001000000
3102210001102112201110010
41302300133300221000
54004323332400000
6132335004304520
711621340263412
oct1626037605100
9383042481403
10123220200000
1148291655037
121ba6a242140
13b8093a9361
145d6ccac9b2
153312a43d50
hex1cb07f0a40

123220200000 has 336 divisors, whose sum is σ = 425264031360. Its totient is φ = 31426560000.

The previous prime is 123220199989. The next prime is 123220200007. The reversal of 123220200000 is 2022321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (123220200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13795536 + ... + 13804464.

It is an arithmetic number, because the mean of its divisors is an integer number (1265666760).

Almost surely, 2123220200000 is an apocalyptic number.

123220200000 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 123220200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212632015680).

123220200000 is an abundant number, since it is smaller than the sum of its proper divisors (302043831360).

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

123220200000 is an frugal number, since it uses more digits than its factorization.

123220200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8992 (or 8962 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 123220200000 its reverse (2022321), we get a palindrome (123222222321).

The spelling of 123220200000 in words is "one hundred twenty-three billion, two hundred twenty million, two hundred thousand".