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121201022120 = 235101162718439
BaseRepresentation
bin111000011100000100…
…1001101010010101000
3102120211201002212010012
41300320021031102220
53441204430201440
6131402354311052
711520321455423
oct1607011152250
9376751085105
10121201022120
11474458a9892
121b5a5b88488
13b576c78b49
145c1aa609ba
153245643e65
hex1c3824d4a8

121201022120 has 64 divisors (see below), whose sum is σ = 275586537600. Its totient is φ = 47968300800.

The previous prime is 121201022119. The next prime is 121201022123. The reversal of 121201022120 is 21220102121.

121201022120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121201022095 and 121201022104.

It is not an unprimeable number, because it can be changed into a prime (121201022123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6563861 + ... + 6582299.

It is an arithmetic number, because the mean of its divisors is an integer number (4306039650).

Almost surely, 2121201022120 is an apocalyptic number.

121201022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121201022120 is an abundant number, since it is smaller than the sum of its proper divisors (154385515480).

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

121201022120 is a wasteful number, since it uses less digits than its factorization.

121201022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20178 (or 20174 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121201022120 its reverse (21220102121), we get a palindrome (142421124241).

The spelling of 121201022120 in words is "one hundred twenty-one billion, two hundred one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 1627 2020 3254 4040 6508 8135 13016 16270 18439 32540 36878 65080 73756 92195 147512 164327 184390 328654 368780 657308 737560 821635 1314616 1643270 1862339 3286540 3724678 6573080 7449356 9311695 14898712 18623390 30000253 37246780 60000506 74493560 120001012 150001265 240002024 300002530 600005060 1200010120 3030025553 6060051106 12120102212 15150127765 24240204424 30300255530 60600511060 121201022120