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12044400000 = 2735510037
BaseRepresentation
bin10110011011110011…
…01111010110000000
31011002101122220200220
423031321233112000
5144131331300000
65311053143040
7604320465543
oct131571572600
934071586626
1012044400000
115120827a96
12240178aa80
13119c40c009
1482389885a
154a75e11a0
hex2cde6f580

12044400000 has 192 divisors, whose sum is σ = 39992596560. Its totient is φ = 3211520000.

The previous prime is 12044399987. The next prime is 12044400001. The reversal of 12044400000 is 444021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12044400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1194982 + ... + 1205018.

Almost surely, 212044400000 is an apocalyptic number.

12044400000 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 12044400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19996298280).

12044400000 is an abundant number, since it is smaller than the sum of its proper divisors (27948196560).

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

12044400000 is an frugal number, since it uses more digits than its factorization.

12044400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10079 (or 10047 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 12044400000 its reverse (444021), we get a palindrome (12044844021).

The spelling of 12044400000 in words is "twelve billion, forty-four million, four hundred thousand".