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11111111211312 = 24337171271701857
BaseRepresentation
bin1010000110110000000111…
…0101100011100100110000
31110100012201110000001001000
42201230001311203210300
52424021023432230222
635344212442242000
72224515456663030
oct241540165434460
943305643001030
1011111111211312
1135a4217681582
1212b54a87b6300
13627a08bc8938
142a5ad01758c0
1514405b0ee9ac
hexa1b01d63930

11111111211312 has 320 divisors, whose sum is σ = 38897121853440. Its totient is φ = 2964333625344.

The previous prime is 11111111211307. The next prime is 11111111211349. The reversal of 11111111211312 is 21311211111111.

It is a happy number.

It is a super-2 number, since 2×111111112113122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (28) and by the product (144) of the squares of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5677888 + ... + 7379744.

It is an arithmetic number, because the mean of its divisors is an integer number (121553505792).

Almost surely, 211111111211312 is an apocalyptic number.

11111111211312 is a gapful number since it is divisible by the number (12) 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 11111111211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19448560926720).

11111111211312 is an abundant number, since it is smaller than the sum of its proper divisors (27786010642128).

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

11111111211312 is a wasteful number, since it uses less digits than its factorization.

11111111211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702025 (or 1702013 counting only the distinct ones).

The product of its digits is 12, while the sum is 18.

Adding to 11111111211312 its reverse (21311211111111), we get a palindrome (32422322322423).

The spelling of 11111111211312 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, two hundred eleven thousand, three hundred twelve".