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1212011122120 = 235831019833677
BaseRepresentation
bin10001101000110001011…
…111100000110111001000
311021212102010202100000021
4101220301133200313020
5124324144321401440
62324442404350224
7153364523361541
oct21506137406710
94255363670007
101212011122120
114280137549a7
12176a900a5374
138a3a4b44a66
14429397dd4c8
15217d940684a
hex11a317e0dc8

1212011122120 has 128 divisors (see below), whose sum is σ = 2790800490240. Its totient is φ = 473609958400.

The previous prime is 1212011122097. The next prime is 1212011122123. The reversal of 1212011122120 is 212211102121.

It is a junction number, because it is equal to n+sod(n) for n = 1212011122094 and 1212011122103.

It is not an unprimeable number, because it can be changed into a prime (1212011122123) 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, 329617722 + ... + 329621398.

It is an arithmetic number, because the mean of its divisors is an integer number (21803128830).

Almost surely, 21212011122120 is an apocalyptic number.

1212011122120 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 1212011122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395400245120).

1212011122120 is an abundant number, since it is smaller than the sum of its proper divisors (1578789368120).

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

1212011122120 is a wasteful number, since it uses less digits than its factorization.

1212011122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1212011122120 its reverse (212211102121), we get a palindrome (1424222224241).

The spelling of 1212011122120 in words is "one trillion, two hundred twelve billion, eleven million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 101 166 202 332 404 415 505 664 808 830 983 1010 1660 1966 2020 3320 3677 3932 4040 4915 7354 7864 8383 9830 14708 16766 18385 19660 29416 33532 36770 39320 41915 67064 73540 81589 83830 99283 147080 163178 167660 198566 305191 326356 335320 371377 397132 407945 496415 610382 652712 742754 794264 815890 992830 1220764 1485508 1525955 1631780 1856885 1985660 2441528 2971016 3051910 3263560 3614491 3713770 3971320 6103820 7228982 7427540 8240489 12207640 14457964 14855080 16480978 18072455 28915928 30824291 32961956 36144910 41202445 61648582 65923912 72289820 82404890 123297164 144579640 154121455 164809780 246594328 300002753 308242910 329619560 365063591 600005506 616485820 730127182 1200011012 1232971640 1460254364 1500013765 1825317955 2400022024 2920508728 3000027530 3650635910 6000055060 7301271820 12000110120 14602543640 30300278053 60600556106 121201112212 151501390265 242402224424 303002780530 606005561060 1212011122120