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12042323300 = 2252722457617
BaseRepresentation
bin10110011011100011…
…10100010101100100
31011002020202102000002
423031301310111210
5144130313321200
65310540440432
7604264026200
oct131561642544
934066672002
1012042323300
11511a639807
122400b49118
13119bb629b7
148234b7b00
154a7330bd5
hex2cdc74564

12042323300 has 54 divisors (see below), whose sum is σ = 30398277042. Its totient is φ = 4128794880.

The previous prime is 12042323299. The next prime is 12042323327. The reversal of 12042323300 is 332324021.

12042323300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2987278336 + 9055044964 = 54656^2 + 95158^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 1223909 + ... + 1233708.

Almost surely, 212042323300 is an apocalyptic number.

12042323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042323300 is an abundant number, since it is smaller than the sum of its proper divisors (18355953742).

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

12042323300 is a wasteful number, since it uses less digits than its factorization.

12042323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457645 (or 2457631 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12042323300 its reverse (332324021), we get a palindrome (12374647321).

The spelling of 12042323300 in words is "twelve billion, forty-two million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 2457617 4915234 9830468 12288085 17203319 24576170 34406638 49152340 61440425 68813276 86016595 120423233 122880850 172033190 240846466 245761700 344066380 430082975 481692932 602116165 860165950 1204232330 1720331900 2408464660 3010580825 6021161650 12042323300