Search a number
-
+
12018222451080 = 233551710772277
BaseRepresentation
bin1010111011100011010111…
…1000010100100110001000
31120112221010120211112100000
42232320311320110212020
53033401304421413310
641321032320243000
72350200520210026
oct256706570244610
946487116745300
1012018222451080
11391399929402a
121421266470460
1369240ca38411
142d7983b93716
1515c94caba4c0
hexaee35e14988

12018222451080 has 192 divisors, whose sum is σ = 40508789106240. Its totient is φ = 3204627639552.

The previous prime is 12018222450959. The next prime is 12018222451087. The reversal of 12018222451080 is 8015422281021.

It is a happy number.

12018222451080 is a `hidden beast` number, since 1 + 2 + 0 + 182 + 22 + 451 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12018222451087) 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, 166243902 + ... + 166316178.

It is an arithmetic number, because the mean of its divisors is an integer number (210983276595).

Almost surely, 212018222451080 is an apocalyptic number.

12018222451080 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 12018222451080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254394553120).

12018222451080 is an abundant number, since it is smaller than the sum of its proper divisors (28490566655160).

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

12018222451080 is a wasteful number, since it uses less digits than its factorization.

12018222451080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89410 (or 89394 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 12018222451080 in words is "twelve trillion, eighteen billion, two hundred twenty-two million, four hundred fifty-one thousand, eighty".