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12321300011100 = 22352531934099817
BaseRepresentation
bin1011001101001100011010…
…1101011101100001011100
31121121220102120201210202120
42303103012231131201130
53103333010300323400
642112154352222540
72411120205026523
oct263230655354134
947556376653676
1012321300011100
113a20485705763
12146bb4a53aa50
136b4b80336152
143084d592b4ba
1516578a53dca0
hexb34c6b5d85c

12321300011100 has 288 divisors, whose sum is σ = 36603456603840. Its totient is φ = 3198816092160.

The previous prime is 12321300011057. The next prime is 12321300011101. The reversal of 12321300011100 is 111000312321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12321300011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321300011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1255093392 + ... + 1255103208.

It is an arithmetic number, because the mean of its divisors is an integer number (127095335430).

Almost surely, 212321300011100 is an apocalyptic number.

12321300011100 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 12321300011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18301728301920).

12321300011100 is an abundant number, since it is smaller than the sum of its proper divisors (24282156592740).

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

12321300011100 is a wasteful number, since it uses less digits than its factorization.

12321300011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10489 (or 10482 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12321300011100 its reverse (111000312321), we get a palindrome (12432300323421).

The spelling of 12321300011100 in words is "twelve trillion, three hundred twenty-one billion, three hundred million, eleven thousand, one hundred".