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12001040100 = 22325277924113
BaseRepresentation
bin10110010110101000…
…10101011011100100
31010222101002000002200
423023110111123210
5144034231240400
65302503534500
7603253105050
oct131324253344
933871060080
1012001040100
1150a9302065
1223ab15a430
13119343a07a
1481bc0cc60
154a38c8b00
hex2cb5156e4

12001040100 has 216 divisors, whose sum is σ = 43536380160. Its totient is φ = 2708259840.

The previous prime is 12001040063. The next prime is 12001040141. The reversal of 12001040100 is 104010021.

It is a happy number.

12001040100 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 (9).

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 71 ways as a sum of consecutive naturals, for example, 485644 + ... + 509756.

Almost surely, 212001040100 is an apocalyptic number.

12001040100 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 12001040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21768190080).

12001040100 is an abundant number, since it is smaller than the sum of its proper divisors (31535340060).

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

12001040100 is a wasteful number, since it uses less digits than its factorization.

12001040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24219 (or 24209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12001040100 its reverse (104010021), we get a palindrome (12105050121).

The spelling of 12001040100 in words is "twelve billion, one million, forty thousand, one hundred".