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21220120122000 = 243537434760009
BaseRepresentation
bin1001101001100101100011…
…01110001101001010010000
32210010121211122201201021220
410310302301232031022100
510240132301222401000
6113044215534445040
74320050233651512
oct464626156151220
983117748651256
1021220120122000
116841447668628
122468727363780
13bac083113977
145350b89b9bb2
1526beb61191a0
hex134cb1b8d290

21220120122000 has 160 divisors (see below), whose sum is σ = 68505759279360. Its totient is φ = 5651081497600.

The previous prime is 21220120121957. The next prime is 21220120122031. The reversal of 21220120122000 is 22102102212.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2077996 + ... + 6838004.

It is an arithmetic number, because the mean of its divisors is an integer number (428160995496).

Almost surely, 221220120122000 is an apocalyptic number.

21220120122000 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 21220120122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34252879639680).

21220120122000 is an abundant number, since it is smaller than the sum of its proper divisors (47285639157360).

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

21220120122000 is a wasteful number, since it uses less digits than its factorization.

21220120122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760778 (or 4760762 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21220120122000 its reverse (22102102212), we get a palindrome (21242222224212).

The spelling of 21220120122000 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 743 750 1000 1200 1486 1500 2000 2229 2972 3000 3715 4458 5944 6000 7430 8916 11145 11888 14860 17832 18575 22290 29720 35664 37150 44580 55725 59440 74300 89160 92875 111450 148600 178320 185750 222900 278625 297200 371500 445800 557250 743000 891600 1114500 1486000 2229000 4458000 4760009 9520018 14280027 19040036 23800045 28560054 38080072 47600090 57120108 71400135 76160144 95200180 114240216 119000225 142800270 190400360 228480432 238000450 285600540 357000675 380800720 476000900 571201080 595001125 714001350 952001800 1142402160 1190002250 1428002700 1785003375 1904003600 2380004500 2856005400 3536686687 3570006750 4760009000 5712010800 7073373374 7140013500 9520018000 10610060061 14146746748 14280027000 17683433435 21220120122 28293493496 28560054000 35366866870 42440240244 53050300305 56586986992 70733733740 84880480488 88417167175 106100600610 141467467480 169760960976 176834334350 212201201220 265251501525 282934934960 353668668700 424402402440 442085835875 530503003050 707337337400 848804804880 884171671750 1061006006100 1326257507625 1414674674800 1768343343500 2122012012200 2652515015250 3536686687000 4244024024400 5305030030500 7073373374000 10610060061000 21220120122000