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12034700400 = 2435210028917
BaseRepresentation
bin10110011010101001…
…01111010001110000
31011001201102010100110
423031110233101300
5144121340403100
65310105221320
7604142160042
oct131524572160
934051363313
1012034700400
115116302598
1223ba491840
13119a3c40c8
14822491a92
154a6827250
hex2cd52f470

12034700400 has 60 divisors (see below), whose sum is σ = 38551160792. Its totient is φ = 3209253120.

The previous prime is 12034700383. The next prime is 12034700411. The reversal of 12034700400 is 400743021.

12034700400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5013259 + ... + 5015658.

Almost surely, 212034700400 is an apocalyptic number.

12034700400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12034700400 is an abundant number, since it is smaller than the sum of its proper divisors (26516460392).

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

12034700400 is a wasteful number, since it uses less digits than its factorization.

12034700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10028938 (or 10028927 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The spelling of 12034700400 in words is "twelve billion, thirty-four million, seven hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10028917 20057834 30086751 40115668 50144585 60173502 80231336 100289170 120347004 150433755 160462672 200578340 240694008 250722925 300867510 401156680 481388016 501445850 601735020 752168775 802313360 1002891700 1203470040 1504337550 2005783400 2406940080 3008675100 4011566800 6017350200 12034700400