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12111223120 = 245151390289
BaseRepresentation
bin10110100011110001…
…01001100101010000
31011021001101212210021
423101320221211100
5144300433114440
65321441313224
7606061461253
oct132170514520
934231355707
1012111223120
115155519207
122420035814
1311b0207819
1482c6d109a
154ad3e084a
hex2d1e29950

12111223120 has 20 divisors (see below), whose sum is σ = 28158593940. Its totient is φ = 4844489216.

The previous prime is 12111223109. The next prime is 12111223123. The reversal of 12111223120 is 2132211121.

It can be written as a sum of positive squares in 2 ways, for example, as 9245976336 + 2865246784 = 96156^2 + 53528^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12111223094 and 12111223103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111223123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75695065 + ... + 75695224.

It is an arithmetic number, because the mean of its divisors is an integer number (1407929697).

Almost surely, 212111223120 is an apocalyptic number.

12111223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111223120 is an abundant number, since it is smaller than the sum of its proper divisors (16047370820).

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

12111223120 is a wasteful number, since it uses less digits than its factorization.

12111223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151390302 (or 151390296 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12111223120 its reverse (2132211121), we get a palindrome (14243434241).

The spelling of 12111223120 in words is "twelve billion, one hundred eleven million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151390289 302780578 605561156 756951445 1211122312 1513902890 2422244624 3027805780 6055611560 12111223120