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1120120020 = 2232553117413
BaseRepresentation
bin100001011000011…
…1010110011010100
32220001200222210200
41002300322303110
54243222320040
6303052020500
736520602015
oct10260726324
92801628720
101120120020
11525307828
12273161730
1314b0a6916
14a8a9900c
156850c630
hex42c3acd4

1120120020 has 72 divisors (see below), whose sum is σ = 3461834376. Its totient is φ = 293060352.

The previous prime is 1120120019. The next prime is 1120120063. The reversal of 1120120020 is 200210211.

It can be written as a sum of positive squares in 4 ways, for example, as 406909584 + 713210436 = 20172^2 + 26706^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1120119984 and 1120120011.

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, 49167 + ... + 68246.

It is an arithmetic number, because the mean of its divisors is an integer number (48081033).

Almost surely, 21120120020 is an apocalyptic number.

1120120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120120020 is an abundant number, since it is smaller than the sum of its proper divisors (2341714356).

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

1120120020 is a wasteful number, since it uses less digits than its factorization.

1120120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117481 (or 117476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1120120020 is about 33468.1941550482. The cubic root of 1120120020 is about 1038.5359144704.

Adding to 1120120020 its reverse (200210211), we get a palindrome (1320330231).

The spelling of 1120120020 in words is "one billion, one hundred twenty million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 117413 234826 352239 469652 587065 704478 1056717 1174130 1408956 1761195 2113434 2348260 3522390 4226868 5283585 6222889 7044780 10567170 12445778 18668667 21134340 24891556 31114445 37337334 56006001 62228890 74674668 93343335 112012002 124457780 186686670 224024004 280030005 373373340 560060010 1120120020