Search a number
-
+
121223311000 = 235311171574129
BaseRepresentation
bin111000011100101111…
…0001110111010011000
3102120220021001020201021
41300321132032322120
53441231131423000
6131404512132224
711521012066531
oct1607136167230
9376807036637
10121223311000
1147457442850
121b5b1537074
13b57b78102c
145c1d9c3688
15324759811a
hex1c3978ee98

121223311000 has 256 divisors, whose sum is σ = 329819817600. Its totient is φ = 41213952000.

The previous prime is 121223310991. The next prime is 121223311007. The reversal of 121223311000 is 113322121.

It is a super-2 number, since 2×1212233110002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121223311007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29356936 + ... + 29361064.

Almost surely, 2121223311000 is an apocalyptic number.

121223311000 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 121223311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164909908800).

121223311000 is an abundant number, since it is smaller than the sum of its proper divisors (208596506600).

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

121223311000 is a wasteful number, since it uses less digits than its factorization.

121223311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121223311000 its reverse (113322121), we get a palindrome (121336633121).

The spelling of 121223311000 in words is "one hundred twenty-one billion, two hundred twenty-three million, three hundred eleven thousand".