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1101220000000 = 285755061
BaseRepresentation
bin10000000001100101110…
…100111011000100000000
310220021102220201012002221
4100001211310323010000
5121020244310000000
62201520554220424
7142363154361601
oct20014564730400
93807386635087
101101220000000
1139502aa8805a
12159510424714
137cac9782b73
143b429521da8
151d9a2b3c61a
hex10065d3b100

1101220000000 has 144 divisors (see below), whose sum is σ = 2747715817392. Its totient is φ = 440480000000.

The previous prime is 1101219999961. The next prime is 1101220000081. The reversal of 1101220000000 is 221011.

It can be written as a sum of positive squares in 8 ways, for example, as 833028591616 + 268191408384 = 912704^2 + 517872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19972470 + ... + 20027530.

It is an arithmetic number, because the mean of its divisors is an integer number (19081359843).

Almost surely, 21101220000000 is an apocalyptic number.

1101220000000 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 1101220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373857908696).

1101220000000 is an abundant number, since it is smaller than the sum of its proper divisors (1646495817392).

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

1101220000000 is an frugal number, since it uses more digits than its factorization.

1101220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55112 (or 55068 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1101220000000 its reverse (221011), we get a palindrome (1101220221011).

The spelling of 1101220000000 in words is "one trillion, one hundred one billion, two hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 55061 62500 78125 80000 100000 110122 125000 156250 160000 200000 220244 250000 275305 312500 400000 440488 500000 550610 625000 800000 880976 1000000 1101220 1250000 1376525 1761952 2000000 2202440 2500000 2753050 3523904 4000000 4404880 5000000 5506100 6882625 7047808 8809760 10000000 11012200 13765250 14095616 17619520 20000000 22024400 27530500 34413125 35239040 44048800 55061000 68826250 70478080 88097600 110122000 137652500 172065625 176195200 220244000 275305000 344131250 352390400 440488000 550610000 688262500 860328125 880976000 1101220000 1376525000 1720656250 1761952000 2202440000 2753050000 3441312500 4301640625 4404880000 5506100000 6882625000 8603281250 8809760000 11012200000 13765250000 17206562500 22024400000 27530500000 34413125000 44048800000 55061000000 68826250000 110122000000 137652500000 220244000000 275305000000 550610000000 1101220000000