Search a number
-
+
12065123840 = 29571197631
BaseRepresentation
bin10110011110010001…
…10010111000000000
31011010211122210110112
423033020302320000
5144202132430330
65313113250452
7604661601110
oct131710627000
934124583415
1012065123840
1151314a2130
122408703a28
1311a37b6a43
14826531040
154a9336795
hex2cf232e00

12065123840 has 320 divisors, whose sum is σ = 36495664128. Its totient is φ = 3715891200.

The previous prime is 12065123803. The next prime is 12065123843. The reversal of 12065123840 is 4832156021.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12065123797 and 12065123806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12065123843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19120325 + ... + 19120955.

Almost surely, 212065123840 is an apocalyptic number.

12065123840 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 12065123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18247832064).

12065123840 is an abundant number, since it is smaller than the sum of its proper divisors (24430540288).

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

12065123840 is an equidigital number, since it uses as much as digits as its factorization.

12065123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 12065123840 its reverse (4832156021), we get a palindrome (16897279861).

The spelling of 12065123840 in words is "twelve billion, sixty-five million, one hundred twenty-three thousand, eight hundred forty".