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122680254401 = 1723330972041
BaseRepresentation
bin111001001000001010…
…0000001111111000001
3102201122210112122022222
41302100110001333001
54002222121120101
6132205235340425
711602062646115
oct1622024017701
9381583478288
10122680254401
1148034894a01
121b939451715
13b751579413
145d1b2b9745
1532d043a01b
hex1c90501fc1

122680254401 has 8 divisors (see below), whose sum is σ = 130454240904. Its totient is φ = 114968212480.

The previous prime is 122680254383. The next prime is 122680254409. The reversal of 122680254401 is 104452086221.

It can be written as a sum of positive squares in 4 ways, for example, as 19254337600 + 103425916801 = 138760^2 + 321599^2 .

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 122680254401 - 222 = 122676060097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122680254409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15482060 + ... + 15489981.

It is an arithmetic number, because the mean of its divisors is an integer number (16306780113).

Almost surely, 2122680254401 is an apocalyptic number.

It is an amenable number.

122680254401 is a deficient number, since it is larger than the sum of its proper divisors (7773986503).

122680254401 is a wasteful number, since it uses less digits than its factorization.

122680254401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30972291.

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 122680254401 in words is "one hundred twenty-two billion, six hundred eighty million, two hundred fifty-four thousand, four hundred one".

Divisors: 1 17 233 3961 30972041 526524697 7216485553 122680254401