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12040554400 = 2552721811697
BaseRepresentation
bin10110011011010110…
…00100011110100000
31011002010102112112021
423031223010132200
5144124340220100
65310434511224
7604243011100
oct131553043640
934063375467
1012040554400
115119640806
122400435514
13119b693804
14823177200
154a70d1a1a
hex2cdac47a0

12040554400 has 216 divisors, whose sum is σ = 34402196556. Its totient is φ = 4102963200.

The previous prime is 12040554377. The next prime is 12040554403. The reversal of 12040554400 is 445504021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3825669904 + 8214884496 = 61852^2 + 90636^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12040554403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7094352 + ... + 7096048.

Almost surely, 212040554400 is an apocalyptic number.

12040554400 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 12040554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17201098278).

12040554400 is an abundant number, since it is smaller than the sum of its proper divisors (22361642156).

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

12040554400 is a wasteful number, since it uses less digits than its factorization.

12040554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 12040554400 in words is "twelve billion, forty million, five hundred fifty-four thousand, four hundred".