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1321120020 = 2235112001697
BaseRepresentation
bin100111010111110…
…1011000100010100
310102001220211222010
41032233223010110
510201201320040
6335032104220
744511222603
oct11657530424
93361824863
101321120020
11618813030
1230a535070
1318092112c
14c765ba3a
157aeb2e80
hex4ebeb114

1321120020 has 48 divisors (see below), whose sum is σ = 4035423168. Its totient is φ = 320271360.

The previous prime is 1321120013. The next prime is 1321120043. The reversal of 1321120020 is 200211231.

1321120020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1321119978 and 1321120005.

It is a congruent number.

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, 1000189 + ... + 1001508.

It is an arithmetic number, because the mean of its divisors is an integer number (84071316).

Almost surely, 21321120020 is an apocalyptic number.

1321120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321120020 is an abundant number, since it is smaller than the sum of its proper divisors (2714303148).

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

1321120020 is a wasteful number, since it uses less digits than its factorization.

1321120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001720 (or 2001718 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1321120020 is about 36347.2147488635. The cubic root of 1321120020 is about 1097.2714800008.

Adding to 1321120020 its reverse (200211231), we get a palindrome (1521331251).

The spelling of 1321120020 in words is "one billion, three hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2001697 4003394 6005091 8006788 10008485 12010182 20016970 22018667 24020364 30025455 40033940 44037334 60050910 66056001 88074668 110093335 120101820 132112002 220186670 264224004 330280005 440373340 660560010 1321120020