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1202112011120 = 245101521285559
BaseRepresentation
bin10001011111100011011…
…101011001101101110000
311020220212020211101120112
4101133203131121231300
5124143411133323440
62320124224200452
7152564312333606
oct21374335315560
94226766741515
101202112011120
114238a3989329
12174b88a69128
138948801c927
144227ac1d876
152140a326965
hex117e3759b70

1202112011120 has 80 divisors (see below), whose sum is σ = 2828010335040. Its totient is φ = 475168512000.

The previous prime is 1202112011071. The next prime is 1202112011171. The reversal of 1202112011120 is 211102112021.

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 = 1202112011095 and 1202112011104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4066901 + ... + 4352459.

It is an arithmetic number, because the mean of its divisors is an integer number (35350129188).

Almost surely, 21202112011120 is an apocalyptic number.

1202112011120 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 1202112011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414005167520).

1202112011120 is an abundant number, since it is smaller than the sum of its proper divisors (1625898323920).

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

1202112011120 is a wasteful number, since it uses less digits than its factorization.

1202112011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286194 (or 286188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1202112011120 its reverse (211102112021), we get a palindrome (1413214123141).

The spelling of 1202112011120 in words is "one trillion, two hundred two billion, one hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 521 808 1010 1042 1616 2020 2084 2605 4040 4168 5210 8080 8336 10420 20840 41680 52621 105242 210484 263105 285559 420968 526210 571118 841936 1052420 1142236 1427795 2104840 2284472 2855590 4209680 4568944 5711180 11422360 22844720 28841459 57682918 115365836 144207295 148776239 230731672 288414590 297552478 461463344 576829180 595104956 743881195 1153658360 1190209912 1487762390 2307316720 2380419824 2975524780 5951049560 11902099120 15026400139 30052800278 60105600556 75132000695 120211201112 150264001390 240422402224 300528002780 601056005560 1202112011120