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1201021120 = 26513449643
BaseRepresentation
bin100011110010110…
…0010000011000000
310002200221012020201
41013211202003000
54424430133440
6315102014544
741522340205
oct10745420300
93080835221
101201021120
11566a43a42
12296277454
13161a911b0
14b5717cac
157068d19a
hex479620c0

1201021120 has 112 divisors (see below), whose sum is σ = 3091586400. Its totient is φ = 441778176.

The previous prime is 1201021111. The next prime is 1201021139. The reversal of 1201021120 is 211201021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1201021097 and 1201021106.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1867519 + ... + 1868161.

It is an arithmetic number, because the mean of its divisors is an integer number (27603450).

Almost surely, 21201021120 is an apocalyptic number.

1201021120 is a gapful number since it is divisible by the number (10) 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 1201021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545793200).

1201021120 is an abundant number, since it is smaller than the sum of its proper divisors (1890565280).

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

1201021120 is a wasteful number, since it uses less digits than its factorization.

1201021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1201021120 is about 34655.7516149917. The cubic root of 1201021120 is about 1062.9599009272.

Adding to 1201021120 its reverse (211201021), we get a palindrome (1412222141).

The spelling of 1201021120 in words is "one billion, two hundred one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 449 520 643 832 898 1040 1286 1796 2080 2245 2572 3215 3592 4160 4490 5144 5837 6430 7184 8359 8980 10288 11674 12860 14368 16718 17960 20576 23348 25720 28736 29185 33436 35920 41152 41795 46696 51440 58370 66872 71840 83590 93392 102880 116740 133744 143680 167180 186784 205760 233480 267488 288707 334360 373568 466960 534976 577414 668720 933920 1154828 1337440 1443535 1867840 2309656 2674880 2887070 3753191 4619312 5774140 7506382 9238624 11548280 15012764 18477248 18765955 23096560 30025528 37531910 46193120 60051056 75063820 92386240 120102112 150127640 240204224 300255280 600510560 1201021120