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120122023001 = 1735320017001
BaseRepresentation
bin110111111011111010…
…1001001110001011001
3102111001111210000120212
41233313311021301121
53432002214214001
6131103331500505
711451510230411
oct1576765116131
9374044700525
10120122023001
1146a41828882
121b344757735
13b43456c026
145b5762b641
1531d0a5a7bb
hex1bf7d49c59

120122023001 has 8 divisors (see below), whose sum is σ = 127548336744. Its totient is φ = 112735744000.

The previous prime is 120122022959. The next prime is 120122023013. The reversal of 120122023001 is 100320221021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2508006400 + 117614016601 = 50080^2 + 342949^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120122023001 - 214 = 120122006617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120122023601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10002500 + ... + 10014501.

It is an arithmetic number, because the mean of its divisors is an integer number (15943542093).

Almost surely, 2120122023001 is an apocalyptic number.

It is an amenable number.

120122023001 is a deficient number, since it is larger than the sum of its proper divisors (7426313743).

120122023001 is a wasteful number, since it uses less digits than its factorization.

120122023001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20017371.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 120122023001 its reverse (100320221021), we get a palindrome (220442244022).

It can be divided in two parts, 1201220 and 23001, that added together give a palindrome (1224221).

The spelling of 120122023001 in words is "one hundred twenty billion, one hundred twenty-two million, twenty-three thousand, one".

Divisors: 1 17 353 6001 20017001 340289017 7066001353 120122023001