Search a number
-
+
121010002102220 = 225711296491417437
BaseRepresentation
bin11011100000111011010110…
…001100001000011111001100
3120212110102222002220220020212
4123200323112030020133030
5111330111441014232340
61105211121051101552
734326453442332110
oct3340732614103714
9525412862826225
10121010002102220
113561506550a590
12116a4670a418b8
13526a26a96a79a
1421c4cb5a25740
15decb34042a65
hex6e0ed63087cc

121010002102220 has 192 divisors, whose sum is σ = 327802506716160. Its totient is φ = 36411105561600.

The previous prime is 121010002102189. The next prime is 121010002102259. The reversal of 121010002102220 is 22201200010121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 121010002102195 and 121010002102204.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 289679342 + ... + 290096778.

It is an arithmetic number, because the mean of its divisors is an integer number (1707304722480).

Almost surely, 2121010002102220 is an apocalyptic number.

121010002102220 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 121010002102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163901253358080).

121010002102220 is an abundant number, since it is smaller than the sum of its proper divisors (206792504613940).

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

121010002102220 is a wasteful number, since it uses less digits than its factorization.

121010002102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423984 (or 423982 counting only the distinct ones).

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

Adding to 121010002102220 its reverse (22201200010121), we get a palindrome (143211202112341).

The spelling of 121010002102220 in words is "one hundred twenty-one trillion, ten billion, two million, one hundred two thousand, two hundred twenty".