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12442112300 = 2252195163773
BaseRepresentation
bin10111001011001101…
…11001000100101100
31012010010000210102002
423211212321010230
5200440140043200
65414341351432
7620220131612
oct134546710454
935103023362
1012442112300
115305280142
1224b2a08578
13123392c237
148606256b2
154cc4a1bd5
hex2e59b912c

12442112300 has 36 divisors (see below), whose sum is σ = 27013646016. Its totient is φ = 4974216000.

The previous prime is 12442112239. The next prime is 12442112363. The reversal of 12442112300 is 321124421.

12442112300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124421123002 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 163214 + ... + 226986.

It is an arithmetic number, because the mean of its divisors is an integer number (750379056).

Almost surely, 212442112300 is an apocalyptic number.

12442112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442112300 is an abundant number, since it is smaller than the sum of its proper divisors (14571533716).

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

12442112300 is a wasteful number, since it uses less digits than its factorization.

12442112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65738 (or 65731 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12442112300 its reverse (321124421), we get a palindrome (12763236721).

The spelling of 12442112300 in words is "twelve billion, four hundred forty-two million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1951 3902 7804 9755 19510 39020 48775 63773 97550 127546 195100 255092 318865 637730 1275460 1594325 3188650 6377300 124421123 248842246 497684492 622105615 1244211230 2488422460 3110528075 6221056150 12442112300