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2202201020120 = 235237935984401
BaseRepresentation
bin100000000010111101011…
…010001101011011011000
321210112021011201221110012
4200002331122031123120
5242040101430120440
64403402134341052
7315050410550243
oct40027532153330
97715234657405
102202201020120
11779a48078a82
122b69747ba788
1312c8888812ca
1478830dd625a
153c43e7c0e65
hex200bd68d6d8

2202201020120 has 128 divisors (see below), whose sum is σ = 5250479616000. Its totient is φ = 829588531200.

The previous prime is 2202201020101. The next prime is 2202201020147. The reversal of 2202201020120 is 210201022022.

It is a junction number, because it is equal to n+sod(n) for n = 2202201020095 and 2202201020104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26049920 + ... + 26134320.

It is an arithmetic number, because the mean of its divisors is an integer number (41019372000).

Almost surely, 22202201020120 is an apocalyptic number.

2202201020120 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 2202201020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625239808000).

2202201020120 is an abundant number, since it is smaller than the sum of its proper divisors (3048278595880).

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

2202201020120 is a wasteful number, since it uses less digits than its factorization.

2202201020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84873 (or 84869 counting only the distinct ones).

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

Adding to 2202201020120 its reverse (210201022022), we get a palindrome (2412402042142).

The spelling of 2202201020120 in words is "two trillion, two hundred two billion, two hundred one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 184 230 316 359 395 460 632 718 790 920 1436 1580 1795 1817 2872 3160 3590 3634 7180 7268 8257 9085 14360 14536 16514 18170 28361 33028 36340 41285 56722 66056 72680 82570 84401 113444 141805 165140 168802 226888 283610 330280 337604 422005 567220 652303 675208 844010 1134440 1304606 1688020 1941223 2609212 3261515 3376040 3882446 5218424 6523030 6667679 7764892 9706115 13046060 13335358 15529784 19412230 26092120 26670716 30299959 33338395 38824460 53341432 60599918 66676790 77648920 121199836 133353580 151499795 153356617 242399672 266707160 302999590 306713234 605999180 613426468 696899057 766783085 1211998360 1226852936 1393798114 1533566170 2393696761 2787596228 3067132340 3484495285 4787393522 5575192456 6134264680 6968990570 9574787044 11968483805 13937981140 19149574088 23936967610 27875962280 47873935220 55055025503 95747870440 110110051006 220220102012 275275127515 440440204024 550550255030 1101100510060 2202201020120