Search a number
-
+
12112214110000 = 245418116094159
BaseRepresentation
bin1011000001000001100000…
…1110000010111100110000
31120212220202000201112002121
42300100120032002330300
53041421303303010000
641432135131524024
72360035646140114
oct260203016027460
946786660645077
1012112214110000
11394a841111594
121437517bb9614
1369b23b81b644
142dc33cc73744
151600ee5c0b1a
hexb0418382f30

12112214110000 has 200 divisors, whose sum is σ = 29512318035200. Its totient is φ = 4813966080000.

The previous prime is 12112214109991. The next prime is 12112214110049. The reversal of 12112214110000 is 1141221121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2912287921 + ... + 2912292079.

It is an arithmetic number, because the mean of its divisors is an integer number (147561590176).

Almost surely, 212112214110000 is an apocalyptic number.

12112214110000 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 12112214110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756159017600).

12112214110000 is an abundant number, since it is smaller than the sum of its proper divisors (17400103925200).

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

12112214110000 is a wasteful number, since it uses less digits than its factorization.

12112214110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12112214110000 its reverse (1141221121), we get a palindrome (12113355331121).

The spelling of 12112214110000 in words is "twelve trillion, one hundred twelve billion, two hundred fourteen million, one hundred ten thousand".