Search a number
-
+
121832494000 = 2453761331431
BaseRepresentation
bin111000101110111001…
…0000101001110110000
3102122110201022221200121
41301131302011032300
53444003104302000
6131545153100024
711542060053340
oct1613562051660
9378421287617
10121832494000
114773a2a2a78
121b741557614
13b647a43649
145c7a87ad20
153280ccbb1a
hex1c5dc853b0

121832494000 has 320 divisors, whose sum is σ = 344024838144. Its totient is φ = 40867200000.

The previous prime is 121832493997. The next prime is 121832494001. The reversal of 121832494000 is 494238121.

It is not an unprimeable number, because it can be changed into a prime (121832494001) 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, 282673785 + ... + 282674215.

Almost surely, 2121832494000 is an apocalyptic number.

121832494000 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 121832494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172012419072).

121832494000 is an abundant number, since it is smaller than the sum of its proper divisors (222192344144).

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

121832494000 is a wasteful number, since it uses less digits than its factorization.

121832494000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 121832494000 in words is "one hundred twenty-one billion, eight hundred thirty-two million, four hundred ninety-four thousand".