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111121241112 = 23327601366853
BaseRepresentation
bin110011101111101010…
…1111001010000011000
3101121211020012221000200
41213133111321100120
53310034014203422
6123014241502200
711012454651660
oct1473725712030
9347736187020
10111121241112
1143143053162
1219652341960
13a62b8a6b9b
1455420911a0
152d557772ac
hex19df579418

111121241112 has 96 divisors (see below), whose sum is σ = 344519928480. Its totient is φ = 31696012800.

The previous prime is 111121241089. The next prime is 111121241117. The reversal of 111121241112 is 211142121111.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111121241117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119478 + ... + 486330.

It is an arithmetic number, because the mean of its divisors is an integer number (3588749255).

Almost surely, 2111121241112 is an apocalyptic number.

111121241112 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 111121241112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172259964240).

111121241112 is an abundant number, since it is smaller than the sum of its proper divisors (233398687368).

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

111121241112 is a wasteful number, since it uses less digits than its factorization.

111121241112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367473 (or 367466 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 111121241112 its reverse (211142121111), we get a palindrome (322263362223).

The spelling of 111121241112 in words is "one hundred eleven billion, one hundred twenty-one million, two hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 601 1202 1803 2404 3606 4207 4808 5409 7212 8414 10818 12621 14424 16828 21636 25242 33656 37863 43272 50484 75726 100968 151452 302904 366853 733706 1100559 1467412 2201118 2567971 2934824 3301677 4402236 5135942 6603354 7703913 8804472 10271884 13206708 15407826 20543768 23111739 26413416 30815652 46223478 61631304 92446956 184893912 220478653 440957306 661435959 881914612 1322871918 1543350571 1763829224 1984307877 2645743836 3086701142 3968615754 4630051713 5291487672 6173402284 7937231508 9260103426 12346804568 13890155139 15874463016 18520206852 27780310278 37040413704 55560620556 111121241112