Search a number
-
+
121012202022120 = 233253591097385331
BaseRepresentation
bin11011100000111101011001…
…010100001010010011101000
3120212110122122102110102000200
4123200331121110022103220
5111330130442204201440
61105212123235032200
734326562114335543
oct3340753124122350
9525418572412020
10121012202022120
1135615a94294a02
12116a4b8573b660
13526a52b671836
1421c5043c8185a
15decc12245c30
hex6e0f5950a4e8

121012202022120 has 192 divisors, whose sum is σ = 394425734601600. Its totient is φ = 32176722439680.

The previous prime is 121012202022071. The next prime is 121012202022133. The reversal of 121012202022120 is 21220202210121.

It is a happy number.

121012202022120 is a `hidden beast` number, since 1 + 210 + 1 + 220 + 20 + 2 + 212 + 0 = 666.

121012202022120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 121012202022093 and 121012202022102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418107855 + ... + 1418193185.

It is an arithmetic number, because the mean of its divisors is an integer number (2054300701050).

Almost surely, 2121012202022120 is an apocalyptic number.

121012202022120 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 121012202022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197212867300800).

121012202022120 is an abundant number, since it is smaller than the sum of its proper divisors (273413532579480).

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

121012202022120 is a wasteful number, since it uses less digits than its factorization.

121012202022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96680 (or 96673 counting only the distinct ones).

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

Adding to 121012202022120 its reverse (21220202210121), we get a palindrome (142232404232241).

The spelling of 121012202022120 in words is "one hundred twenty-one trillion, twelve billion, two hundred two million, twenty-two thousand, one hundred twenty".