Search a number
-
+
123412112474112 = 2213273111733
BaseRepresentation
bin11100000011111000011111…
…001000000000000000000000
3121011222002020022101010012200
4130003320133020000000000
5112133441001243132422
61114250424120553200
734665142123524000
oct3403703710000000
9534862208333180
10123412112474112
1136360868165370
1211a12116922800
1353b2934b1cc47
14226926ca64000
15e40373d2e2ac
hex703e1f200000

123412112474112 has 1056 divisors, whose sum is σ = 453830295484800. Its totient is φ = 32036597268480.

The previous prime is 123412112474107. The next prime is 123412112474143. The reversal of 123412112474112 is 211474211214321.

123412112474112 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 211 + 24 + 7 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (128) and by the product (462422016) of the squares of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71212989598 + ... + 71212991330.

Almost surely, 2123412112474112 is an apocalyptic number.

123412112474112 is a gapful number since it is divisible by the number (12) 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 123412112474112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226915147742400).

123412112474112 is an abundant number, since it is smaller than the sum of its proper divisors (330418183010688).

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

123412112474112 is an frugal number, since it uses more digits than its factorization.

123412112474112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1756 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

Adding to 123412112474112 its reverse (211474211214321), we get a palindrome (334886323688433).

The spelling of 123412112474112 in words is "one hundred twenty-three trillion, four hundred twelve billion, one hundred twelve million, four hundred seventy-four thousand, one hundred twelve".