Search a number
-
+
121222122000 = 24353716317707
BaseRepresentation
bin111000011100101100…
…1101100101000010000
3102120220011210211201020
41300321121230220100
53441230330401000
6131404430435440
711520666015210
oct1607131545020
9376804724636
10121222122000
1147456800501
121b5b1062b80
13b57b455a95
145c1d794240
153247410ba0
hex1c3966ca10

121222122000 has 320 divisors, whose sum is σ = 449417140224. Its totient is φ = 27536371200.

The previous prime is 121222121981. The next prime is 121222122019. The reversal of 121222122000 is 221222121.

121222122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121222121981) and next prime (121222122019).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 6837147 + ... + 6854853.

Almost surely, 2121222122000 is an apocalyptic number.

121222122000 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 121222122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224708570112).

121222122000 is an abundant number, since it is smaller than the sum of its proper divisors (328195018224).

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

121222122000 is a wasteful number, since it uses less digits than its factorization.

121222122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17903 (or 17887 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 121222122000 its reverse (221222121), we get a palindrome (121443344121).

The spelling of 121222122000 in words is "one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand".