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1021202122120 = 235291735088709
BaseRepresentation
bin11101101110001000110…
…00111100010110001000
310121121220022221211021021
432313010120330112020
5113212410220401440
62101044521322224
7133531224550105
oct16670430742610
93547808854237
101021202122120
113640a8a80074
12145aba636374
13753b6a2b82b
14375d8251aac
151b86ccdb84a
hexedc463c588

1021202122120 has 64 divisors (see below), whose sum is σ = 2390675958000. Its totient is φ = 392115483648.

The previous prime is 1021202122103. The next prime is 1021202122121. The reversal of 1021202122120 is 212212021201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 343632784804 + 677569337316 = 586202^2 + 823146^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1021202122094 and 1021202122103.

It is not an unprimeable number, because it can be changed into a prime (1021202122121) 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 15 ways as a sum of consecutive naturals, for example, 2343675 + ... + 2745034.

Almost surely, 21021202122120 is an apocalyptic number.

1021202122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021202122120 is an abundant number, since it is smaller than the sum of its proper divisors (1369473835880).

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

1021202122120 is a wasteful number, since it uses less digits than its factorization.

1021202122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088922 (or 5088918 counting only the distinct ones).

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

Adding to 1021202122120 its reverse (212212021201), we get a palindrome (1233414143321).

The spelling of 1021202122120 in words is "one trillion, twenty-one billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 173 232 290 346 580 692 865 1160 1384 1730 3460 5017 6920 10034 20068 25085 40136 50170 100340 200680 5088709 10177418 20354836 25443545 40709672 50887090 101774180 147572561 203548360 295145122 590290244 737862805 880346657 1180580488 1475725610 1760693314 2951451220 3521386628 4401733285 5902902440 7042773256 8803466570 17606933140 25530053053 35213866280 51060106106 102120212212 127650265265 204240424424 255300530530 510601061060 1021202122120