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1220022101000 = 23534347959233
BaseRepresentation
bin10001110000001110111…
…110111110010000001000
311022122002102211020002202
4101300032332332100020
5124442101124213000
62332245335415332
7154100166516233
oct21601676762010
94278072736082
101220022101000
114304547409aa
12178546b24548
138b080730151
144309972441a
1521b0786edd5
hex11c0efbe408

1220022101000 has 128 divisors (see below), whose sum is σ = 2927391667200. Its totient is φ = 475656652800.

The previous prime is 1220022100991. The next prime is 1220022101003. The reversal of 1220022101000 is 1012200221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1220022101003) by changing a digit.

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, 20567384 + ... + 20626616.

It is an arithmetic number, because the mean of its divisors is an integer number (22870247400).

Almost surely, 21220022101000 is an apocalyptic number.

1220022101000 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 1220022101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463695833600).

1220022101000 is an abundant number, since it is smaller than the sum of its proper divisors (1707369566200).

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

1220022101000 is a wasteful number, since it uses less digits than its factorization.

1220022101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59776 (or 59762 counting only the distinct ones).

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

Adding to 1220022101000 its reverse (1012200221), we get a palindrome (1221034301221).

The spelling of 1220022101000 in words is "one trillion, two hundred twenty billion, twenty-two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 479 500 860 958 1000 1075 1720 1916 2150 2395 3832 4300 4790 5375 8600 9580 10750 11975 19160 20597 21500 23950 41194 43000 47900 59233 59875 82388 95800 102985 118466 119750 164776 205970 236932 239500 296165 411940 473864 479000 514925 592330 823880 1029850 1184660 1480825 2059700 2369320 2547019 2574625 2961650 4119400 5094038 5149250 5923300 7404125 10188076 10298500 11846600 12735095 14808250 20376152 20597000 25470190 28372607 29616500 50940380 56745214 59233000 63675475 101880760 113490428 127350950 141863035 226980856 254701900 283726070 318377375 509403800 567452140 636754750 709315175 1134904280 1220022101 1273509500 1418630350 2440044202 2547019000 2837260700 3546575875 4880088404 5674521400 6100110505 7093151750 9760176808 12200221010 14186303500 24400442020 28372607000 30500552525 48800884040 61001105050 122002210100 152502762625 244004420200 305005525250 610011050500 1220022101000