Search a number
-
+
122020121122020 = 223551131379719391
BaseRepresentation
bin11011101111101000000101…
…111110011001010011100100
3121000001000021001001210100000
4123233220011332121103210
5111443134202001401040
61111303134135221300
734462443231332442
oct3357500576312344
9530030231053300
10122020121122020
1135974496351860
1211828397817830
1353115a94964b4
14221bb3bd33b92
15e19053d27130
hex6efa05f994e4

122020121122020 has 576 divisors, whose sum is σ = 432373891203072. Its totient is φ = 28617406272000.

The previous prime is 122020121121991. The next prime is 122020121122021. The reversal of 122020121122020 is 20221121020221.

It is a happy number.

122020121122020 is a `hidden beast` number, since 1 + 220 + 201 + 2 + 1 + 1 + 220 + 20 = 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 = 122020121121984 and 122020121122002.

It is not an unprimeable number, because it can be changed into a prime (122020121122021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6292606525 + ... + 6292625915.

It is an arithmetic number, because the mean of its divisors is an integer number (750649116672).

Almost surely, 2122020121122020 is an apocalyptic number.

122020121122020 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 122020121122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216186945601536).

122020121122020 is an abundant number, since it is smaller than the sum of its proper divisors (310353770081052).

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

122020121122020 is a wasteful number, since it uses less digits than its factorization.

122020121122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23254 (or 23240 counting only the distinct ones).

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

Adding to 122020121122020 its reverse (20221121020221), we get a palindrome (142241242142241).

The spelling of 122020121122020 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, twenty".