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12041379840 = 21335713999
BaseRepresentation
bin10110011011011100…
…01110000000000000
31011002011222110211010
423031232032000000
5144130043123330
65310504320520
7604253016450
oct131556160000
934064873733
1012041379840
11511a054996
122400773140
13119b8c2439
1482330dd60
154a71e63b0
hex2cdb8e000

12041379840 has 224 divisors, whose sum is σ = 44037504000. Its totient is φ = 2752118784.

The previous prime is 12041379811. The next prime is 12041379841. The reversal of 12041379840 is 4897314021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041379841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853161 + ... + 867159.

It is an arithmetic number, because the mean of its divisors is an integer number (196596000).

Almost surely, 212041379840 is an apocalyptic number.

12041379840 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 12041379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22018752000).

12041379840 is an abundant number, since it is smaller than the sum of its proper divisors (31996124160).

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

12041379840 is an equidigital number, since it uses as much as digits as its factorization.

12041379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040 (or 14016 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 12041379840 in words is "twelve billion, forty-one million, three hundred seventy-nine thousand, eight hundred forty".