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12034478400 = 2635272192693
BaseRepresentation
bin10110011010100111…
…11001000101000000
31011001200222211211020
423031103321011000
5144121311302100
65310100345440
7604140243600
oct131523710500
934050884736
1012034478400
11511617081a
1223ba3a5280
13119a347049
14822434c00
154a67d15a0
hex2cd4f9140

12034478400 has 504 divisors, whose sum is σ = 48364627680. Its totient is φ = 2604994560.

The previous prime is 12034478371. The next prime is 12034478429. The reversal of 12034478400 is 487443021.

It is an interprime number because it is at equal distance from previous prime (12034478371) and next prime (12034478429).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4467454 + ... + 4470146.

Almost surely, 212034478400 is an apocalyptic number.

12034478400 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 12034478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24182313840).

12034478400 is an abundant number, since it is smaller than the sum of its proper divisors (36330149280).

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

12034478400 is a wasteful number, since it uses less digits than its factorization.

12034478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 12034478400 in words is "twelve billion, thirty-four million, four hundred seventy-eight thousand, four hundred".