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1211111111120 = 245531012828113
BaseRepresentation
bin10001100111111011110…
…110001111100111010000
311021210002102020001000112
4101213323312033213100
5124320323421023440
62324213214140452
7153333314406011
oct21477366174720
94253072201015
101211111111120
114276a1715359
1217687a7b1728
138a290546381
144289207d008
15217853c6965
hex119fbd8f9d0

1211111111120 has 80 divisors (see below), whose sum is σ = 2897368855632. Its totient is φ = 470597836800.

The previous prime is 1211111111087. The next prime is 1211111111143. The reversal of 1211111111120 is 211111111121.

It can be written as a sum of positive squares in 8 ways, for example, as 2967198784 + 1208143912336 = 54472^2 + 1099156^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1211111111095 and 1211111111104.

It is a congruent number.

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, 985817 + ... + 1842296.

Almost surely, 21211111111120 is an apocalyptic number.

1211111111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211111111120 is an abundant number, since it is smaller than the sum of its proper divisors (1686257744512).

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

1211111111120 is a wasteful number, since it uses less digits than its factorization.

1211111111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828280 (or 2828274 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 1211111111120 its reverse (211111111121), we get a palindrome (1422222222241).

Subtracting from 1211111111120 its reverse (211111111121), we obtain a palindrome (999999999999).

It can be divided in two parts, 1211111 and 111120, that added together give a palindrome (1322231).

The spelling of 1211111111120 in words is "one trillion, two hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 101 106 202 212 265 404 424 505 530 808 848 1010 1060 1616 2020 2120 4040 4240 5353 8080 10706 21412 26765 42824 53530 85648 107060 214120 428240 2828113 5656226 11312452 14140565 22624904 28281130 45249808 56562260 113124520 149889989 226249040 285639413 299779978 571278826 599559956 749449945 1142557652 1199119912 1428197065 1498899890 2285115304 2398239824 2856394130 2997799780 4570230608 5712788260 5995599560 11425576520 11991199120 15138888889 22851153040 30277777778 60555555556 75694444445 121111111112 151388888890 242222222224 302777777780 605555555560 1211111111120