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12111311120 = 245151391389
BaseRepresentation
bin10110100011110001…
…11111000100010000
31011021001120100111112
423101320333010100
5144300443423440
65321443232452
7606062305646
oct132170770420
934231510445
1012111311120
115155579337
122420078728
1311b02388ac
1482c715196
154ad40b965
hex2d1e3f110

12111311120 has 20 divisors (see below), whose sum is σ = 28158798540. Its totient is φ = 4844524416.

The previous prime is 12111311099. The next prime is 12111311131. The reversal of 12111311120 is 2111311121.

It can be written as a sum of positive squares in 2 ways, for example, as 1615718416 + 10495592704 = 40196^2 + 102448^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12111311095 and 12111311104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75695615 + ... + 75695774.

It is an arithmetic number, because the mean of its divisors is an integer number (1407939927).

Almost surely, 212111311120 is an apocalyptic number.

12111311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111311120 is an abundant number, since it is smaller than the sum of its proper divisors (16047487420).

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

12111311120 is a wasteful number, since it uses less digits than its factorization.

12111311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151391402 (or 151391396 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 12111311120 its reverse (2111311121), we get a palindrome (14222622241).

Subtracting from 12111311120 its reverse (2111311121), we obtain a palindrome (9999999999).

The spelling of 12111311120 in words is "twelve billion, one hundred eleven million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151391389 302782778 605565556 756956945 1211131112 1513913890 2422262224 3027827780 6055655560 12111311120