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12033411124 = 2272338348787
BaseRepresentation
bin10110011010011111…
…10100100000110100
31011001121222121210111
423031033310200310
5144121023123444
65310021432404
7604125210160
oct131517644064
934047877714
1012033411124
115115601979
1223b9b6b704
13119a062317
14822237ca0
154a6670234
hex2cd3f4834

12033411124 has 48 divisors (see below), whose sum is σ = 25179291648. Its totient is φ = 4919970528.

The previous prime is 12033411097. The next prime is 12033411157. The reversal of 12033411124 is 42111433021.

12033411124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12033411095 and 12033411104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222259 + ... + 271045.

It is an arithmetic number, because the mean of its divisors is an integer number (524568576).

Almost surely, 212033411124 is an apocalyptic number.

12033411124 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 12033411124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589645824).

12033411124 is an abundant number, since it is smaller than the sum of its proper divisors (13145880524).

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

12033411124 is a wasteful number, since it uses less digits than its factorization.

12033411124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49204 (or 49202 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12033411124 its reverse (42111433021), we get a palindrome (54144844145).

The spelling of 12033411124 in words is "twelve billion, thirty-three million, four hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 383 644 766 1532 2681 5362 8809 10724 17618 35236 48787 61663 97574 123326 195148 246652 341509 683018 1122101 1366036 2244202 4488404 7854707 15709414 18685421 31418828 37370842 74741684 130797947 261595894 429764683 523191788 859529366 1719058732 3008352781 6016705562 12033411124