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1122211002000 = 243531117003197
BaseRepresentation
bin10000010101001000111…
…111001111011010010000
310222021121210222120112110
4100111020333033122100
5121341242004031000
62215311524225320
7144035302062264
oct20251077173220
93867553876473
101122211002000
113a2a219445a0
121615aa23b240
1381a935671ca
143c45b2920a4
151e2d08ad850
hex10548fcf690

1122211002000 has 160 divisors (see below), whose sum is σ = 3946918345344. Its totient is φ = 272051136000.

The previous prime is 1122211001999. The next prime is 1122211002001. The reversal of 1122211002000 is 2001122211.

It is an interprime number because it is at equal distance from previous prime (1122211001999) and next prime (1122211002001).

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 (1122211002001) 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, 8435599 + ... + 8567598.

Almost surely, 21122211002000 is an apocalyptic number.

1122211002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122211002000 is an abundant number, since it is smaller than the sum of its proper divisors (2824707343344).

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

1122211002000 is a wasteful number, since it uses less digits than its factorization.

1122211002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17003234 (or 17003218 counting only the distinct ones).

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

Adding to 1122211002000 its reverse (2001122211), we get a palindrome (1124212124211).

The spelling of 1122211002000 in words is "one trillion, one hundred twenty-two billion, two hundred eleven million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 17003197 34006394 51009591 68012788 85015985 102019182 136025576 170031970 187035167 204038364 255047955 272051152 340063940 374070334 408076728 425079925 510095910 561105501 680127880 748140668 816153456 850159850 935175835 1020191820 1122211002 1275239775 1360255760 1496281336 1700319700 1870351670 2040383640 2125399625 2244422004 2550479550 2805527505 2992562672 3400639400 3740703340 4080767280 4250799250 4488844008 4675879175 5100959100 5611055010 6376198875 6801278800 7481406680 8501598500 8977688016 9351758350 10201918200 11222110020 12752397750 14027637525 14962813360 17003197000 18703516700 20403836400 22444220040 23379395875 25504795500 28055275050 34006394000 37407033400 44888440080 46758791750 51009591000 56110550100 70138187625 74814066800 93517583500 102019182000 112221100200 140276375250 187035167000 224442200400 280552750500 374070334000 561105501000 1122211002000