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11121122120 = 23510113192087
BaseRepresentation
bin10100101101101111…
…01101101101001000
31001201001100112112212
422112313231231020
5140234001401440
65035312124252
7542406656363
oct122667555510
931631315485
1011121122120
114797646719
1221a4536688
131083055244
14776ddd0da
15451517465
hex296dedb48

11121122120 has 64 divisors (see below), whose sum is σ = 25301548800. Its totient is φ = 4398956800.

The previous prime is 11121122083. The next prime is 11121122143. The reversal of 11121122120 is 2122112111.

It is a junction number, because it is equal to n+sod(n) for n = 11121122095 and 11121122104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5327717 + ... + 5329803.

It is an arithmetic number, because the mean of its divisors is an integer number (395336700).

Almost surely, 211121122120 is an apocalyptic number.

11121122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121122120 is an abundant number, since it is smaller than the sum of its proper divisors (14180426680).

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

11121122120 is a wasteful number, since it uses less digits than its factorization.

11121122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11121122120 its reverse (2122112111), we get a palindrome (13243234231).

It can be divided in two parts, 111211 and 22120, that added together give a palindrome (133331).

The spelling of 11121122120 in words is "eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 1319 2020 2087 2638 4040 4174 5276 6595 8348 10435 10552 13190 16696 20870 26380 41740 52760 83480 133219 210787 266438 421574 532876 666095 843148 1053935 1065752 1332190 1686296 2107870 2664380 2752753 4215740 5328760 5505506 8431480 11011012 13763765 22022024 27527530 55055060 110110120 278028053 556056106 1112112212 1390140265 2224224424 2780280530 5560561060 11121122120