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2220121202000 = 245313226937633
BaseRepresentation
bin100000010011101001100…
…010010001110101010000
321212020112001201111121012
4200103221202101311100
5242333302011431000
64415524250150052
7316253446564412
oct40235142216520
97766461644535
102220121202000
117866035a3949
122ba336122328
131314833b6220
1479650da69b2
153cb3cb5e735
hex204e9891d50

2220121202000 has 160 divisors (see below), whose sum is σ = 5783897202720. Its totient is φ = 819354009600.

The previous prime is 2220121201927. The next prime is 2220121202017. The reversal of 2220121202000 is 2021210222.

It can be written as a sum of positive squares in 16 ways, for example, as 2216156232976 + 3964969024 = 1488676^2 + 62968^2 .

It is a congruent 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, 58975184 + ... + 59012816.

It is an arithmetic number, because the mean of its divisors is an integer number (36149357517).

Almost surely, 22220121202000 is an apocalyptic number.

2220121202000 is a gapful number since it is divisible by the number (20) 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 2220121202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891948601360).

2220121202000 is an abundant number, since it is smaller than the sum of its proper divisors (3563776000720).

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

2220121202000 is a wasteful number, since it uses less digits than its factorization.

2220121202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39938 (or 39922 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2220121202000 its reverse (2021210222), we get a palindrome (2222142412222).

The spelling of 2220121202000 in words is "two trillion, two hundred twenty billion, one hundred twenty-one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2269 2600 3250 4538 5200 6500 9076 11345 13000 18152 22690 26000 29497 36304 37633 45380 56725 58994 75266 90760 113450 117988 147485 150532 181520 188165 226900 235976 283625 294970 301064 376330 453800 471952 489229 567250 589940 602128 737425 752660 907600 940825 978458 1134500 1179880 1474850 1505320 1881650 1956916 2269000 2359760 2446145 2949700 3010640 3687125 3763300 3913832 4538000 4704125 4892290 5899400 7374250 7526600 7827664 9408250 9784580 11798800 12230725 14748500 15053200 18816500 19569160 24461450 29497000 37633000 39138320 48922900 58994000 61153625 75266000 85389277 97845800 122307250 170778554 195691600 244614500 341557108 426946385 489229000 683114216 853892770 978458000 1110060601 1366228432 1707785540 2134731925 2220121202 3415571080 4269463850 4440242404 5550303005 6831142160 8538927700 8880484808 10673659625 11100606010 17077855400 17760969616 21347319250 22201212020 27751515025 34155710800 42694638500 44402424040 55503030050 85389277000 88804848080 111006060100 138757575125 170778554000 222012120200 277515150250 444024240400 555030300500 1110060601000 2220121202000