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1121332120 = 235192575741
BaseRepresentation
bin100001011010110…
…0010101110011000
32220010222120111021
41002311202232120
54244030111440
6303134012224
736534110566
oct10265425630
92803876437
101121332120
11525a65467
12273647074
1314b40c53c
14a8cd2a36
156869b84a
hex42d62b98

1121332120 has 64 divisors (see below), whose sum is σ = 2666584800. Its totient is φ = 423198720.

The previous prime is 1121332117. The next prime is 1121332129. The reversal of 1121332120 is 212331211.

It is a junction number, because it is equal to n+sod(n) for n = 1121332094 and 1121332103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121332129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192450 + ... + 198190.

Almost surely, 21121332120 is an apocalyptic number.

1121332120 is a gapful number since it is divisible by the number (10) 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 1121332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333292400).

1121332120 is an abundant number, since it is smaller than the sum of its proper divisors (1545252680).

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

1121332120 is a wasteful number, since it uses less digits than its factorization.

1121332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6028 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1121332120 is about 33486.2974961401. The cubic root of 1121332120 is about 1038.9103849357.

Adding to 1121332120 its reverse (212331211), we get a palindrome (1333663331).

Subtracting from 1121332120 its reverse (212331211), we obtain a palindrome (909000909).

The spelling of 1121332120 in words is "one billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 257 380 514 760 1028 1285 2056 2570 4883 5140 5741 9766 10280 11482 19532 22964 24415 28705 39064 45928 48830 57410 97660 109079 114820 195320 218158 229640 436316 545395 872632 1090790 1475437 2181580 2950874 4363160 5901748 7377185 11803496 14754370 28033303 29508740 56066606 59017480 112133212 140166515 224266424 280333030 560666060 1121332120