Search a number
-
+
12022408032 = 253125233417
BaseRepresentation
bin10110011001001011…
…10110001101100000
31011000212021121101120
423030211312031200
5144110214024112
65304545532240
7603632532165
oct131445661540
934025247346
1012022408032
11510a377108
1223b6344080
1311979ac00b
148209b206c
154a56e9e8c
hex2cc976360

12022408032 has 24 divisors (see below), whose sum is σ = 31558821336. Its totient is φ = 4007469312.

The previous prime is 12022408031. The next prime is 12022408037. The reversal of 12022408032 is 23080422021.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×120224080322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12022407993 and 12022408011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022408031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62616613 + ... + 62616804.

It is an arithmetic number, because the mean of its divisors is an integer number (1314950889).

Almost surely, 212022408032 is an apocalyptic number.

12022408032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12022408032 is an abundant number, since it is smaller than the sum of its proper divisors (19536413304).

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

12022408032 is a wasteful number, since it uses less digits than its factorization.

12022408032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125233430 (or 125233422 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 12022408032 in words is "twelve billion, twenty-two million, four hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 125233417 250466834 375700251 500933668 751400502 1001867336 1502801004 2003734672 3005602008 4007469344 6011204016 12022408032