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1201021220 = 2257311272179
BaseRepresentation
bin100011110010110…
…0010000100100100
310002200221012101102
41013211202010210
54424430134340
6315102015232
741522340410
oct10745420444
93080835342
101201021220
11566a44023
12296277518
13161a91259
14b5717d40
157068d215
hex47962124

1201021220 has 96 divisors (see below), whose sum is σ = 3000238080. Its totient is φ = 395176320.

The previous prime is 1201021201. The next prime is 1201021249. The reversal of 1201021220 is 221201021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550091 + ... + 552269.

It is an arithmetic number, because the mean of its divisors is an integer number (31252480).

Almost surely, 21201021220 is an apocalyptic number.

1201021220 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 1201021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500119040).

1201021220 is an abundant number, since it is smaller than the sum of its proper divisors (1799216860).

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

1201021220 is a wasteful number, since it uses less digits than its factorization.

1201021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1201021220 is about 34655.7530577536. The cubic root of 1201021220 is about 1062.9599304287.

Adding to 1201021220 its reverse (221201021), we get a palindrome (1422222241).

The spelling of 1201021220 in words is "one billion, two hundred one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 127 140 155 217 254 310 434 508 620 635 868 889 1085 1270 1778 2170 2179 2540 3556 3937 4340 4358 4445 7874 8716 8890 10895 15253 15748 17780 19685 21790 27559 30506 39370 43580 55118 61012 67549 76265 78740 110236 135098 137795 152530 270196 275590 276733 305060 337745 472843 551180 553466 675490 945686 1106932 1350980 1383665 1891372 1937131 2364215 2767330 3874262 4728430 5534660 7748524 8578723 9456860 9685655 17157446 19371310 34314892 38742620 42893615 60051061 85787230 120102122 171574460 240204244 300255305 600510610 1201021220