Search a number
-
+
121020211110120 = 23357461320397571
BaseRepresentation
bin11011100001000100110110…
…101100011010000011101000
3120212111102022120222020022120
4123201010312230122003220
5111330243343021010440
61105215530101351240
734330264435426410
oct3341046654320350
9525442276866276
10121020211110120
11356194241aa2a3
12116a663ba08520
13526b206a4736a
1421c55a3833640
15ded030438dd0
hex6e1136b1a0e8

121020211110120 has 256 divisors, whose sum is σ = 415960582625280. Its totient is φ = 27592858444800.

The previous prime is 121020211110109. The next prime is 121020211110121. The reversal of 121020211110120 is 21011112020121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121020211110120.

It is not an unprimeable number, because it can be changed into a prime (121020211110121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1240280935 + ... + 1240378505.

It is an arithmetic number, because the mean of its divisors is an integer number (1624846025880).

Almost surely, 2121020211110120 is an apocalyptic number.

121020211110120 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 121020211110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207980291312640).

121020211110120 is an abundant number, since it is smaller than the sum of its proper divisors (294940371515160).

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

121020211110120 is a wasteful number, since it uses less digits than its factorization.

121020211110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101256 (or 101252 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121020211110120 its reverse (21011112020121), we get a palindrome (142031323130241).

The spelling of 121020211110120 in words is "one hundred twenty-one trillion, twenty billion, two hundred eleven million, one hundred ten thousand, one hundred twenty".