Search a number
-
+
132012122004 = 22347149390647
BaseRepresentation
bin111101011110010001…
…0010001111110010100
3110121202011002122010000
41322330202101332110
54130330100401004
6140351233531300
712352245344160
oct1727442217624
9417664078100
10132012122004
1150a93446184
1221702713b30
13c5aaa04579
1465647dbca0
15367981cc39
hex1ebc891f94

132012122004 has 120 divisors (see below), whose sum is σ = 397054627200. Its totient is φ = 37464513984.

The previous prime is 132012122003. The next prime is 132012122041. The reversal of 132012122004 is 400221210231.

It is a happy number.

132012122004 is a `hidden beast` number, since 1 + 320 + 121 + 220 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132012122003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142609 + ... + 533255.

It is an arithmetic number, because the mean of its divisors is an integer number (3308788560).

Almost surely, 2132012122004 is an apocalyptic number.

132012122004 is a gapful number since it is divisible by the number (14) 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 132012122004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198527313600).

132012122004 is an abundant number, since it is smaller than the sum of its proper divisors (265042505196).

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

132012122004 is a wasteful number, since it uses less digits than its factorization.

132012122004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390819 (or 390808 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132012122004 its reverse (400221210231), we get a palindrome (532233332235).

It can be divided in two parts, 132012 and 122004, that added together give a square (254016 = 5042).

The spelling of 132012122004 in words is "one hundred thirty-two billion, twelve million, one hundred twenty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 149 162 189 252 298 324 378 447 567 596 756 894 1043 1134 1341 1788 2086 2268 2682 3129 4023 4172 5364 6258 8046 9387 12069 12516 16092 18774 24138 28161 37548 48276 56322 84483 112644 168966 337932 390647 781294 1171941 1562588 2343882 2734529 3515823 4687764 5469058 7031646 8203587 10547469 10938116 14063292 16407174 21094938 24610761 31642407 32814348 42189876 49221522 58206403 63284814 73832283 98443044 116412806 126569628 147664566 174619209 221496849 232825612 295329132 349238418 407444821 442993698 523857627 698476836 814889642 885987396 1047715254 1222334463 1571572881 1629779284 2095430508 2444668926 3143145762 3667003389 4714718643 4889337852 6286291524 7334006778 9429437286 11001010167 14668013556 18858874572 22002020334 33003030501 44004040668 66006061002 132012122004