Search a number
-
+
121220201021220 = 223457671511056599
BaseRepresentation
bin11011100011111111000111…
…000001010111111100100100
3120220012112112020021100110000
4123203333013001113330210
5111342032432430134340
61105451442551301300
734350604404553620
oct3343770701277444
9526175466240400
10121220201021220
11356962202aa564
121171935407a830
135284028c43372
1421d113644a180
15e03337a68d30
hex6e3fc7057f24

121220201021220 has 480 divisors, whose sum is σ = 444004891545600. Its totient is φ = 27113149958400.

The previous prime is 121220201021191. The next prime is 121220201021263. The reversal of 121220201021220 is 22120102022121.

It is a happy number.

121220201021220 is a `hidden beast` number, since 1 + 2 + 1 + 220 + 201 + 0 + 21 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121220201021193 and 121220201021202.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114198481 + ... + 115255079.

It is an arithmetic number, because the mean of its divisors is an integer number (925010190720).

Almost surely, 2121220201021220 is an apocalyptic number.

121220201021220 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 121220201021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222002445772800).

121220201021220 is an abundant number, since it is smaller than the sum of its proper divisors (322784690524380).

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

121220201021220 is a wasteful number, since it uses less digits than its factorization.

121220201021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056845 (or 1056834 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121220201021220 its reverse (22120102022121), we get a palindrome (143340303043341).

The spelling of 121220201021220 in words is "one hundred twenty-one trillion, two hundred twenty billion, two hundred one million, twenty-one thousand, two hundred twenty".