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12031220032 = 2613311273673
BaseRepresentation
bin10110011010001110…
…11101100101000000
31011001110212022011221
423031013131211000
5144114443020112
65305502444424
7604100453146
oct131507354500
934043768157
1012031220032
115114345757
1223b9293714
131199775c10
14821c27596
154a638ae07
hex2cd1dd940

12031220032 has 112 divisors (see below), whose sum is σ = 26756595712. Its totient is φ = 5329981440.

The previous prime is 12031220027. The next prime is 12031220039. The reversal of 12031220032 is 23002213021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12031219988 and 12031220015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031220039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3273748 + ... + 3277420.

It is an arithmetic number, because the mean of its divisors is an integer number (238898176).

Almost surely, 212031220032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378297856).

12031220032 is an abundant number, since it is smaller than the sum of its proper divisors (14725375680).

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

12031220032 is a wasteful number, since it uses less digits than its factorization.

12031220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12031220032 its reverse (23002213021), we get a palindrome (35033433053).

The spelling of 12031220032 in words is "twelve billion, thirty-one million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 127 208 248 254 403 416 496 508 806 832 992 1016 1612 1651 1984 2032 3224 3302 3673 3937 4064 6448 6604 7346 7874 8128 12896 13208 14692 15748 25792 26416 29384 31496 47749 51181 52832 58768 62992 95498 102362 105664 113863 117536 125984 190996 204724 227726 235072 251968 381992 409448 455452 466471 763984 818896 910904 932942 1480219 1527968 1637792 1821808 1865884 2960438 3055936 3275584 3643616 3731768 5920876 6064123 7287232 7463536 11841752 12128246 14460601 14927072 23683504 24256492 28921202 29854144 47367008 48512984 57842404 94734016 97025968 115684808 187987813 194051936 231369616 375975626 388103872 462739232 751951252 925478464 1503902504 3007805008 6015610016 12031220032