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3123201120 = 253513238501
BaseRepresentation
bin1011101000101000…
…0100010001100000
322001122212001111120
42322022010101200
522344014413440
61233525012240
7140252525424
oct27212042140
98048761446
103123201120
111362a69256
12731b54080
133aa08c500
14218b16b84
151342ccdd0
hexba284460

3123201120 has 144 divisors (see below), whose sum is σ = 10653349392. Its totient is φ = 768768000.

The previous prime is 3123201091. The next prime is 3123201127. The reversal of 3123201120 is 211023213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3123201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123201127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 61870 + ... + 100370.

It is an arithmetic number, because the mean of its divisors is an integer number (73981593).

Almost surely, 23123201120 is an apocalyptic number.

3123201120 is a gapful number since it is divisible by the number (30) 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 3123201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326674696).

3123201120 is an abundant number, since it is smaller than the sum of its proper divisors (7530148272).

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

3123201120 is a wasteful number, since it uses less digits than its factorization.

3123201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38545 (or 38524 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3123201120 is about 55885.6074495035. The cubic root of 3123201120 is about 1461.7282842192.

Adding to 3123201120 its reverse (211023213), we get a palindrome (3334224333).

The spelling of 3123201120 in words is "three billion, one hundred twenty-three million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 169 195 208 240 260 312 338 390 416 480 507 520 624 676 780 845 1014 1040 1248 1352 1560 1690 2028 2080 2535 2704 3120 3380 4056 5070 5408 6240 6760 8112 10140 13520 16224 20280 27040 38501 40560 77002 81120 115503 154004 192505 231006 308008 385010 462012 500513 577515 616016 770020 924024 1001026 1155030 1232032 1501539 1540040 1848048 2002052 2310060 2502565 3003078 3080080 3696096 4004104 4620120 5005130 6006156 6160160 6506669 7507695 8008208 9240240 10010260 12012312 13013338 15015390 16016416 18480480 19520007 20020520 24024624 26026676 30030780 32533345 39040014 40041040 48049248 52053352 60061560 65066690 78080028 80082080 97600035 104106704 120123120 130133380 156160056 195200070 208213408 240246240 260266760 312320112 390400140 520533520 624640224 780800280 1041067040 1561600560 3123201120