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11221012000 = 255311255023
BaseRepresentation
bin10100111001101001…
…10000111000100000
31001222000022110201001
422130310300320200
5140440034341000
65053241121344
7545032012462
oct123464607040
931860273631
1011221012000
114838a72440
122211a89254
13109a95a893
147863a2132
1545a19946a
hex29cd30e20

11221012000 has 96 divisors (see below), whose sum is σ = 30076510464. Its totient is φ = 4080352000.

The previous prime is 11221011973. The next prime is 11221012003. The reversal of 11221012000 is 21012211.

It is a super-2 number, since 2×112210120002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11221012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83512 + ... + 171511.

It is an arithmetic number, because the mean of its divisors is an integer number (313296984).

Almost surely, 211221012000 is an apocalyptic number.

11221012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221012000 is an abundant number, since it is smaller than the sum of its proper divisors (18855498464).

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

11221012000 is a wasteful number, since it uses less digits than its factorization.

11221012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255059 (or 255041 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11221012000 its reverse (21012211), we get a palindrome (11242024211).

The spelling of 11221012000 in words is "eleven billion, two hundred twenty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 255023 510046 1020092 1275115 2040184 2550230 2805253 4080368 5100460 5610506 6375575 8160736 10200920 11221012 12751150 14026265 20401840 22442024 25502300 28052530 31877875 40803680 44884048 51004600 56105060 63755750 70131325 89768096 102009200 112210120 127511500 140262650 204018400 224420240 255023000 280525300 350656625 448840480 510046000 561050600 701313250 1020092000 1122101200 1402626500 2244202400 2805253000 5610506000 11221012000