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12104000000 = 29561789
BaseRepresentation
bin10110100010111010…
…00110001000000000
31011020112210220112022
423101131012020000
5144242111000000
65321022421012
7605643205511
oct132135061000
934215726468
1012104000000
115151435394
122419731768
1311ab878ba1
1482b770a08
154ac965585
hex2d1746200

12104000000 has 280 divisors, whose sum is σ = 32367945060. Its totient is φ = 4505600000.

The previous prime is 12103999991. The next prime is 12104000009. The reversal of 12104000000 is 40121.

It is an interprime number because it is at equal distance from previous prime (12103999991) and next prime (12104000009).

It can be written as a sum of positive squares in 14 ways, for example, as 10746224896 + 1357775104 = 103664^2 + 36848^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12104000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 135999956 + ... + 136000044.

Almost surely, 212104000000 is an apocalyptic number.

12104000000 is a gapful number since it is divisible by the number (10) 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 12104000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183972530).

12104000000 is an abundant number, since it is smaller than the sum of its proper divisors (20263945060).

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

12104000000 is an frugal number, since it uses more digits than its factorization.

12104000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12104000000 its reverse (40121), we get a palindrome (12104040121).

The spelling of 12104000000 in words is "twelve billion, one hundred four million", and thus it is an aban number.