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1121120040 = 233511518117
BaseRepresentation
bin100001011010010…
…1110111100101000
32220010120210120110
41002310232330220
54244001320130
6303125254320
736532235355
oct10264567450
92803523513
101121120040
11525930097
122735643a0
1314b366b51
14a8c7962c
1568658ab0
hex42d2ef28

1121120040 has 64 divisors (see below), whose sum is σ = 3366696960. Its totient is φ = 298668800.

The previous prime is 1121119997. The next prime is 1121120051. The reversal of 1121120040 is 400211211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1121119998 and 1121120025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134062 + ... + 142178.

It is an arithmetic number, because the mean of its divisors is an integer number (52604640).

Almost surely, 21121120040 is an apocalyptic number.

1121120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121120040 is an abundant number, since it is smaller than the sum of its proper divisors (2245576920).

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

1121120040 is a wasteful number, since it uses less digits than its factorization.

1121120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9282 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1121120040 is about 33483.1306779996. The cubic root of 1121120040 is about 1038.8448836738.

Adding to 1121120040 its reverse (400211211), we get a palindrome (1521331251).

The spelling of 1121120040 in words is "one billion, one hundred twenty-one million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1151 2302 3453 4604 5755 6906 8117 9208 11510 13812 16234 17265 23020 24351 27624 32468 34530 40585 46040 48702 64936 69060 81170 97404 121755 138120 162340 194808 243510 324680 487020 974040 9342667 18685334 28028001 37370668 46713335 56056002 74741336 93426670 112112004 140140005 186853340 224224008 280280010 373706680 560560020 1121120040