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12022345332 = 22322267147311
BaseRepresentation
bin10110011001001011…
…00110111001110100
31011000212011102101100
423030211212321310
5144110210022312
65304544330100
7603632151324
oct131445467164
934025142340
1012022345332
11510a333a98
1223b6313930
13119798960a
14820997284
154a56d65dc
hex2cc966e74

12022345332 has 36 divisors (see below), whose sum is σ = 30403429056. Its totient is φ = 4005653520.

The previous prime is 12022345303. The next prime is 12022345333. The reversal of 12022345332 is 23354322021.

12022345332 is a `hidden beast` number, since 1 + 202 + 2 + 3 + 453 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12022345296 and 12022345305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022345333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7957 + ... + 155267.

It is an arithmetic number, because the mean of its divisors is an integer number (844539696).

Almost surely, 212022345332 is an apocalyptic number.

12022345332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12022345332 is an abundant number, since it is smaller than the sum of its proper divisors (18381083724).

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

12022345332 is a wasteful number, since it uses less digits than its factorization.

12022345332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149588 (or 149583 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 12022345332 its reverse (23354322021), we get a palindrome (35376667353).

The spelling of 12022345332 in words is "twelve billion, twenty-two million, three hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2267 4534 6801 9068 13602 20403 27204 40806 81612 147311 294622 441933 589244 883866 1325799 1767732 2651598 5303196 333954037 667908074 1001862111 1335816148 2003724222 3005586333 4007448444 6011172666 12022345332