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1100222120000 = 265427505553
BaseRepresentation
bin10000000000101010010…
…110010100000001000000
310220011212101000122002102
4100000222112110001000
5121011223330320000
62201233550205532
7142326346500503
oct20005226240100
93804771018072
101100222120000
11394668782043
121592921b38a8
137c99ab08923
143b372ba713a
151d9452293d5
hex1002a594040

1100222120000 has 70 divisors (see below), whose sum is σ = 2728193384598. Its totient is φ = 440088832000.

The previous prime is 1100222119951. The next prime is 1100222120003. The reversal of 1100222120000 is 212220011.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 544195388416 + 556026731584 = 737696^2 + 745672^2 .

It is not an unprimeable number, because it can be changed into a prime (1100222120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13712777 + ... + 13792776.

Almost surely, 21100222120000 is an apocalyptic number.

1100222120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100222120000 is an abundant number, since it is smaller than the sum of its proper divisors (1627971264598).

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

1100222120000 is an frugal number, since it uses more digits than its factorization.

1100222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27505585 (or 27505560 counting only the distinct ones).

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

Adding to 1100222120000 its reverse (212220011), we get a palindrome (1100434340011).

The spelling of 1100222120000 in words is "one trillion, one hundred billion, two hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 27505553 55011106 110022212 137527765 220044424 275055530 440088848 550111060 687638825 880177696 1100222120 1375277650 1760355392 2200444240 2750555300 3438194125 4400888480 5501110600 6876388250 8801776960 11002221200 13752776500 17190970625 22004442400 27505553000 34381941250 44008884800 55011106000 68763882500 110022212000 137527765000 220044424000 275055530000 550111060000 1100222120000