Search a number
-
+
122010120332001 = 32111232425457899
BaseRepresentation
bin11011101111011110110001…
…111000011010001011100001
3121000000001110001211000111200
4123233132301320122023201
5111443003211301111001
61111254401523431413
734461640344120306
oct3357366170321341
9530001401730450
10122010120332001
1135970224148240
1211826466525569
135310674590575
14221b46da470ad
15e18b6ad60086
hex6ef7b1e1a2e1

122010120332001 has 12 divisors (see below), whose sum is σ = 192258371432400. Its totient is φ = 73945527473880.

The previous prime is 122010120331999. The next prime is 122010120332017. The reversal of 122010120332001 is 100233021010221.

122010120332001 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 120 + 3 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 122010120332001 - 21 = 122010120331999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122010120332071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616212728851 + ... + 616212729048.

It is an arithmetic number, because the mean of its divisors is an integer number (16021530952700).

Almost surely, 2122010120332001 is an apocalyptic number.

122010120332001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122010120332001 is a deficient number, since it is larger than the sum of its proper divisors (70248251100399).

122010120332001 is a wasteful number, since it uses less digits than its factorization.

122010120332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232425457916 (or 1232425457913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122010120332001 its reverse (100233021010221), we get a palindrome (222243141342222).

The spelling of 122010120332001 in words is "one hundred twenty-two trillion, ten billion, one hundred twenty million, three hundred thirty-two thousand, one".

Divisors: 1 3 9 11 33 99 1232425457899 3697276373697 11091829121091 13556680036889 40670040110667 122010120332001