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11110123121112 = 23321517331394137
BaseRepresentation
bin1010000110101100011011…
…1100010010100111011000
31110100010011120201212002200
42201223012330102213120
52424012013004333422
635343530424130200
72224452131234421
oct241530674224730
943303146655080
1011110123121112
1135a385a952804
1212b5271906960
136278ac29b692
142a5a38c48648
15143eee4c22ac
hexa1ac6f129d8

11110123121112 has 96 divisors (see below), whose sum is σ = 30330531734880. Its totient is φ = 3673827187200.

The previous prime is 11110123121101. The next prime is 11110123121147. The reversal of 11110123121112 is 21112132101111.

11110123121112 is a `hidden beast` number, since 111 + 101 + 231 + 211 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7272108 + ... + 8666244.

It is an arithmetic number, because the mean of its divisors is an integer number (315943038905).

Almost surely, 211110123121112 is an apocalyptic number.

11110123121112 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 11110123121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165265867440).

11110123121112 is an abundant number, since it is smaller than the sum of its proper divisors (19220408613768).

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

11110123121112 is a wasteful number, since it uses less digits than its factorization.

11110123121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395033 (or 1395026 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 11110123121112 its reverse (21112132101111), we get a palindrome (32222255222223).

The spelling of 11110123121112 in words is "eleven trillion, one hundred ten billion, one hundred twenty-three million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 733 906 1208 1359 1466 1812 2199 2718 2932 3624 4398 5436 5864 6597 8796 10872 13194 17592 26388 52776 110683 221366 332049 442732 664098 885464 996147 1328196 1394137 1992294 2656392 2788274 3984588 4182411 5576548 7969176 8364822 11153096 12547233 16729644 25094466 33459288 50188932 100377864 210514687 421029374 631544061 842058748 1021902421 1263088122 1684117496 1894632183 2043804842 2526176244 3065707263 3789264366 4087609684 5052352488 6131414526 7578528732 8175219368 9197121789 12262829052 15157057464 18394243578 24525658104 36788487156 73576974312 154307265571 308614531142 462921796713 617229062284 925843593426 1234458124568 1388765390139 1851687186852 2777530780278 3703374373704 5555061560556 11110123121112