Search a number
-
+
12012369792 = 273294759389
BaseRepresentation
bin10110010111111111…
…00011011110000000
31011000011101121111220
423023333203132000
5144100131313132
65303550435040
7603451313163
oct131377433600
934004347456
1012012369792
115104740245
1223b2b02a80
1311958a5c27
1481d51bada
154a48b5a2c
hex2cbfe3780

12012369792 has 256 divisors, whose sum is σ = 34369920000. Its totient is φ = 3710099456.

The previous prime is 12012369739. The next prime is 12012369793. The reversal of 12012369792 is 29796321021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012369793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30879934 + ... + 30880322.

It is an arithmetic number, because the mean of its divisors is an integer number (134257500).

Almost surely, 212012369792 is an apocalyptic number.

12012369792 is a gapful number since it is divisible by the number (12) 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 12012369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960000).

12012369792 is an abundant number, since it is smaller than the sum of its proper divisors (22357550208).

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

12012369792 is a wasteful number, since it uses less digits than its factorization.

12012369792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 12012369792 in words is "twelve billion, twelve million, three hundred sixty-nine thousand, seven hundred ninety-two".