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1212012221020 = 2253125748715619
BaseRepresentation
bin10001101000110001100…
…011101101001001011100
311021212102012211011102021
4101220301203231021130
5124324200112033040
62324442444105524
7153364535616406
oct21506143551134
94255365734367
101212012221020
11428014335587
12176a905352a4
138a3a513acb3
1442939a07b76
15217d957224a
hex11a318ed25c

1212012221020 has 96 divisors (see below), whose sum is σ = 2643137925120. Its totient is φ = 466350981120.

The previous prime is 1212012221011. The next prime is 1212012221041. The reversal of 1212012221020 is 201222102121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1212012220985 and 1212012221003.

It is a congruent number.

It is an unprimeable number.

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, 77590771 + ... + 77606389.

It is an arithmetic number, because the mean of its divisors is an integer number (27532686720).

Almost surely, 21212012221020 is an apocalyptic number.

1212012221020 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 1212012221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321568962560).

1212012221020 is an abundant number, since it is smaller than the sum of its proper divisors (1431125704100).

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

1212012221020 is a wasteful number, since it uses less digits than its factorization.

1212012221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16403 (or 16401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1212012221020 its reverse (201222102121), we get a palindrome (1413234323141).

The spelling of 1212012221020 in words is "one trillion, two hundred twelve billion, twelve million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 257 310 487 514 620 974 1028 1285 1948 2435 2570 4870 5140 7967 9740 15097 15619 15934 30194 31238 31868 39835 60388 62476 75485 78095 79670 125159 150970 156190 159340 250318 301940 312380 484189 500636 625795 968378 1251590 1936756 2420945 2503180 3879929 4014083 4841890 7606453 7759858 8028166 9683780 15212906 15519716 16056332 19399645 20070415 30425812 38032265 38799290 40140830 76064530 77598580 80281660 124436573 152129060 235800043 248873146 471600086 497746292 622182865 943200172 1179000215 1244365730 1954858421 2358000430 2488731460 3909716842 4716000860 7819433684 9774292105 19548584210 39097168420 60600611051 121201222102 242402444204 303003055255 606006110510 1212012221020