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12001012110 = 233544448193
BaseRepresentation
bin10110010110101000…
…01110100110001110
31010222101000120201000
423023110032212032
5144034224341420
65302503201130
7603252630333
oct131324164616
933871016630
1012001012110
1150a929302a
1223ab1461a6
13119342a3c9
1481bc0298a
154a38c0690
hex2cb50e98e

12001012110 has 32 divisors (see below), whose sum is σ = 32002699680. Its totient is φ = 3200269824.

The previous prime is 12001012091. The next prime is 12001012129. The reversal of 12001012110 is 1121010021.

It is a happy number.

12001012110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12001012091) and next prime (12001012129).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12001012092 and 12001012101.

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 15 ways as a sum of consecutive naturals, for example, 22223827 + ... + 22224366.

It is an arithmetic number, because the mean of its divisors is an integer number (1000084365).

Almost surely, 212001012110 is an apocalyptic number.

12001012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12001012110 is an abundant number, since it is smaller than the sum of its proper divisors (20001687570).

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

12001012110 is a wasteful number, since it uses less digits than its factorization.

12001012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44448209 (or 44448203 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001012110 its reverse (1121010021), we get a palindrome (13122022131).

The spelling of 12001012110 in words is "twelve billion, one million, twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 44448193 88896386 133344579 222240965 266689158 400033737 444481930 666722895 800067474 1200101211 1333445790 2000168685 2400202422 4000337370 6000506055 12001012110