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1121982120 = 233257479473
BaseRepresentation
bin100001011100000…
…0001011010101000
32220012012121010100
41002320001122220
54244211411440
6303155545400
736542455620
oct10270013250
92805177110
101121982120
11526369856
122738bb260
1314b5a935c
14a9021880
1568779230
hex42e016a8

1121982120 has 192 divisors, whose sum is σ = 4256478720. Its totient is φ = 250970112.

The previous prime is 1121982109. The next prime is 1121982143. The reversal of 1121982120 is 212891211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113704 + ... + 123176.

It is an arithmetic number, because the mean of its divisors is an integer number (22169160).

Almost surely, 21121982120 is an apocalyptic number.

1121982120 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 1121982120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128239360).

1121982120 is an abundant number, since it is smaller than the sum of its proper divisors (3134496600).

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

1121982120 is a wasteful number, since it uses less digits than its factorization.

1121982120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544 (or 9537 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1121982120 is about 33496.0015524241. The cubic root of 1121982120 is about 1039.1110870883. Note that the first 3 decimals are identical.

Subtracting from 1121982120 its reverse (212891211), we obtain a palindrome (909090909).

It can be divided in two parts, 11219 and 82120, that added together give a palindrome (93339).

The spelling of 1121982120 in words is "one billion, one hundred twenty-one million, nine hundred eighty-two thousand, one hundred twenty".