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120002222022100 = 2252111011080128011
BaseRepresentation
bin11011010010010000110001…
…110100001101110111010100
3120201220002201011220110020021
4123102100301310031313110
5111212104022314201400
61103120132034314524
734163605634103535
oct3322206164156724
9521802634813207
10120002222022100
1135266724975310
1211561299428a44
1351c621289bc52
14218c1d220068c
15dd17ee77271a
hex6d2431d0ddd4

120002222022100 has 72 divisors (see below), whose sum is σ = 286890641011296. Its totient is φ = 43205120400000.

The previous prime is 120002222021987. The next prime is 120002222022113. The reversal of 120002222022100 is 1220222200021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539952906 + ... + 540175105.

It is an arithmetic number, because the mean of its divisors is an integer number (3984592236268).

Almost surely, 2120002222022100 is an apocalyptic number.

120002222022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120002222022100 is an abundant number, since it is smaller than the sum of its proper divisors (166888418989196).

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

120002222022100 is a wasteful number, since it uses less digits than its factorization.

120002222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080128137 (or 1080128130 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120002222022100 its reverse (1220222200021), we get a palindrome (121222444222121).

The spelling of 120002222022100 in words is "one hundred twenty trillion, two billion, two hundred twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 1080128011 2160256022 4320512044 5400640055 10801280110 11881408121 21602560220 23762816242 27003200275 47525632484 54006400550 59407040605 108012801100 109092929111 118814081210 218185858222 237628162420 297035203025 436371716444 545464645555 594070406050 1090929291110 1188140812100 1200022220221 2181858582220 2400044440442 2727323227775 4800088880884 5454646455550 6000111101105 10909292911100 12000222202210 24000444404420 30000555505525 60001111011050 120002222022100