Search a number
-
+
1221100221000 = 233531137003037
BaseRepresentation
bin10001110001001111001…
…111101011001001001000
311022201212120111101201010
4101301033033223021020
5130001303124033000
62332544331323520
7154136000423232
oct21611717531110
94281776441633
101221100221000
11430958271470
121787a7bb05a0
138b1c2bbca8a
144315c9a9252
1521b6c332d50
hex11c4f3eb248

1221100221000 has 128 divisors (see below), whose sum is σ = 4156181228160. Its totient is φ = 296024288000.

The previous prime is 1221100220981. The next prime is 1221100221001. The reversal of 1221100221000 is 1220011221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1221100221001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18468519 + ... + 18534518.

It is an arithmetic number, because the mean of its divisors is an integer number (32470165845).

Almost surely, 21221100221000 is an apocalyptic number.

1221100221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221100221000 is an abundant number, since it is smaller than the sum of its proper divisors (2935081007160).

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

1221100221000 is a wasteful number, since it uses less digits than its factorization.

1221100221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37003072 (or 37003058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1221100221000 its reverse (1220011221), we get a palindrome (1222320232221).

The spelling of 1221100221000 in words is "one trillion, two hundred twenty-one billion, one hundred million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 37003037 74006074 111009111 148012148 185015185 222018222 296024296 370030370 407033407 444036444 555045555 740060740 814066814 888072888 925075925 1110091110 1221100221 1480121480 1628133628 1850151850 2035167035 2220182220 2442200442 2775227775 3256267256 3700303700 4070334070 4440364440 4625379625 4884400884 5550455550 6105501105 7400607400 8140668140 9250759250 9768801768 10175835175 11100911100 12211002210 13876138875 16281336280 18501518500 20351670350 22201822200 24422004420 27752277750 30527505525 37003037000 40703340700 48844008840 50879175875 55504555500 61055011050 81406681400 101758351750 111009111000 122110022100 152637527625 203516703500 244220044200 305275055250 407033407000 610550110500 1221100221000