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12101101120 = 26537815941
BaseRepresentation
bin10110100010100100…
…00010011001000000
31011020100100122000101
423101102002121000
5144240340213440
65320440332144
7605606443123
oct132122023100
934210318011
1012101101120
11514a835419
122418774054
1311ab0a2584
1482b2183ba
154ac59169a
hex2d1482640

12101101120 has 28 divisors (see below), whose sum is σ = 28815747804. Its totient is φ = 4840440320.

The previous prime is 12101101091. The next prime is 12101101141. The reversal of 12101101120 is 2110110121.

It can be written as a sum of positive squares in 2 ways, for example, as 3777823296 + 8323277824 = 61464^2 + 91232^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12101101097 and 12101101106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18907651 + ... + 18908290.

Almost surely, 212101101120 is an apocalyptic number.

12101101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101101120 is an abundant number, since it is smaller than the sum of its proper divisors (16714646684).

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

12101101120 is an equidigital number, since it uses as much as digits as its factorization.

12101101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37815958 (or 37815948 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12101101120 its reverse (2110110121), we get a palindrome (14211211241).

Subtracting from 12101101120 its reverse (2110110121), we obtain a palindrome (9990990999).

The spelling of 12101101120 in words is "twelve billion, one hundred one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 37815941 75631882 151263764 189079705 302527528 378159410 605055056 756318820 1210110112 1512637640 2420220224 3025275280 6050550560 12101101120