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120211000111120 = 24511317132777017
BaseRepresentation
bin11011010101010011001101…
…111101011011000000010000
3120202122001121021201021002211
4123111103031331123000100
5111224014112012023440
61103400100541321504
734214646434426032
oct3325231575330020
9522561537637084
10120211000111120
1135337220739736
1211595844866294
13520cb056b1c29
14219835a04dc52
15dd6e6d68beea
hex6d54cdf5b010

120211000111120 has 40 divisors (see below), whose sum is σ = 279515273888664. Its totient is φ = 48080150817792.

The previous prime is 120211000111093. The next prime is 120211000111127. The reversal of 120211000111120 is 21111000112021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71253047087104 + 48957953024016 = 8441152^2 + 6996996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 120211000111120.

It is not an unprimeable number, because it can be changed into a prime (120211000111127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65483149 + ... + 67293868.

Almost surely, 2120211000111120 is an apocalyptic number.

120211000111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120211000111120 is an abundant number, since it is smaller than the sum of its proper divisors (159304273777544).

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

120211000111120 is a wasteful number, since it uses less digits than its factorization.

120211000111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132788347 (or 132788341 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120211000111120 its reverse (21111000112021), we get a palindrome (141322000223141).

Subtracting from 120211000111120 its reverse (21111000112021), we obtain a palindrome (99099999999099).

The spelling of 120211000111120 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 11317 22634 45268 56585 90536 113170 181072 226340 452680 905360 132777017 265554034 531108068 663885085 1062216136 1327770170 2124432272 2655540340 5311080680 10622161360 1502637501389 3005275002778 6010550005556 7513187506945 12021100011112 15026375013890 24042200022224 30052750027780 60105500055560 120211000111120