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12041422400 = 265273113457
BaseRepresentation
bin10110011011011100…
…11000011001000000
31011002012001122012102
423031232120121000
5144130101004100
65310505245532
7604253254520
oct131556303100
934065048172
1012041422400
11511a083967
1224007938a8
13119b908917
14823321680
154a7203cd5
hex2cdb98640

12041422400 has 168 divisors, whose sum is σ = 33980908416. Its totient is φ = 4114022400.

The previous prime is 12041422363. The next prime is 12041422417. The reversal of 12041422400 is 422414021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3481472 + ... + 3484928.

It is an arithmetic number, because the mean of its divisors is an integer number (202267312).

Almost surely, 212041422400 is an apocalyptic number.

12041422400 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 12041422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16990454208).

12041422400 is an abundant number, since it is smaller than the sum of its proper divisors (21939486016).

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

12041422400 is a wasteful number, since it uses less digits than its factorization.

12041422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12041422400 its reverse (422414021), we get a palindrome (12463836421).

The spelling of 12041422400 in words is "twelve billion, forty-one million, four hundred twenty-two thousand, four hundred".