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12100232100 = 223521137113877
BaseRepresentation
bin10110100010011101…
…01110001110100100
31011020021201110221110
423101032232032210
5144240124411400
65320405545020
7605566163415
oct132116561644
934207643843
1012100232100
11514a2a1520
122418415170
1311aab59b68
1482b06d80c
154ac46de50
hex2d13ae3a4

12100232100 has 288 divisors, whose sum is σ = 39617214336. Its totient is φ = 2825625600.

The previous prime is 12100232057. The next prime is 12100232129. The reversal of 12100232100 is 123200121.

12100232100 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 (12).

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 95 ways as a sum of consecutive naturals, for example, 13796862 + ... + 13797738.

It is an arithmetic number, because the mean of its divisors is an integer number (137559772).

Almost surely, 212100232100 is an apocalyptic number.

12100232100 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 12100232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19808607168).

12100232100 is an abundant number, since it is smaller than the sum of its proper divisors (27516982236).

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

12100232100 is a wasteful number, since it uses less digits than its factorization.

12100232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12100232100 its reverse (123200121), we get a palindrome (12223432221).

The spelling of 12100232100 in words is "twelve billion, one hundred million, two hundred thirty-two thousand, one hundred".