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12042413300 = 2252594914157
BaseRepresentation
bin10110011011100100…
…01010010011110100
31011002020220222110102
423031302022103310
5144130324211200
65310542413232
7604264552451
oct131562122364
934066828412
1012042413300
11511a6a0395
122400b91218
13119bb94958
148234dc828
154a734c6d5
hex2cdc8a4f4

12042413300 has 72 divisors (see below), whose sum is σ = 26635482720. Its totient is φ = 4724540800.

The previous prime is 12042413293. The next prime is 12042413321. The reversal of 12042413300 is 331424021.

12042413300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 2894822 + ... + 2898978.

It is an arithmetic number, because the mean of its divisors is an integer number (369937260).

Almost surely, 212042413300 is an apocalyptic number.

12042413300 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 12042413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317741360).

12042413300 is an abundant number, since it is smaller than the sum of its proper divisors (14593069420).

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

12042413300 is a wasteful number, since it uses less digits than its factorization.

12042413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12042413300 its reverse (331424021), we get a palindrome (12373837321).

The spelling of 12042413300 in words is "twelve billion, forty-two million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 491 590 982 1180 1475 1964 2455 2950 4157 4910 5900 8314 9820 12275 16628 20785 24550 28969 41570 49100 57938 83140 103925 115876 144845 207850 245263 289690 415700 490526 579380 724225 981052 1226315 1448450 2041087 2452630 2896900 4082174 4905260 6131575 8164348 10205435 12263150 20410870 24526300 40821740 51027175 102054350 120424133 204108700 240848266 481696532 602120665 1204241330 2408482660 3010603325 6021206650 12042413300