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1320801120 = 25335305741
BaseRepresentation
bin100111010111001…
…1101001101100000
310102001022122112000
41032232131031200
510201111113440
6335021204000
744505424062
oct11656351540
93361278460
101320801120
11618615481
1230a400600
1318083bc32
14c75b7732
157ae4d730
hex4eb9d360

1320801120 has 96 divisors (see below), whose sum is σ = 4622819040. Its totient is φ = 352212480.

The previous prime is 1320801103. The next prime is 1320801121. The reversal of 1320801120 is 211080231.

1320801120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1320801093 and 1320801102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320801121) 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, 148551 + ... + 157190.

It is an arithmetic number, because the mean of its divisors is an integer number (48154365).

Almost surely, 21320801120 is an apocalyptic number.

1320801120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320801120 is an abundant number, since it is smaller than the sum of its proper divisors (3302017920).

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

1320801120 is a wasteful number, since it uses less digits than its factorization.

1320801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305765 (or 305751 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1320801120 is about 36342.8276280204. The cubic root of 1320801120 is about 1097.1831842041.

Adding to 1320801120 its reverse (211080231), we get a palindrome (1531881351).

The spelling of 1320801120 in words is "one billion, three hundred twenty million, eight hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 305741 611482 917223 1222964 1528705 1834446 2445928 2751669 3057410 3668892 4586115 4891856 5503338 6114820 7337784 8255007 9172230 9783712 11006676 12229640 13758345 14675568 16510014 18344460 22013352 24459280 27516690 29351136 33020028 36688920 41275035 44026704 48918560 55033380 66040056 73377840 82550070 88053408 110066760 132080112 146755680 165100140 220133520 264160224 330200280 440267040 660400560 1320801120