Search a number
-
+
122301321201 = 3311340085651
BaseRepresentation
bin111000111100110111…
…0100000111111110001
3102200200101111211201000
41301321232200333301
54000433114234301
6132103501432213
711556512035443
oct1617156407761
9380611454630
10122301321201
114795a9a8874
121b85256b669
13b6c0c029a7
145cc2c3a493
1532ac038786
hex1c79ba0ff1

122301321201 has 16 divisors (see below), whose sum is σ = 182790573120. Its totient is φ = 80812670400.

The previous prime is 122301321193. The next prime is 122301321209. The reversal of 122301321201 is 102123103221.

122301321201 is a `hidden beast` number, since 1 + 22 + 301 + 321 + 20 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (122301321193) and next prime (122301321209).

It is not a de Polignac number, because 122301321201 - 23 = 122301321193 is a prime.

It is a super-2 number, since 2×1223013212012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122301321209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20039775 + ... + 20045876.

It is an arithmetic number, because the mean of its divisors is an integer number (11424410820).

Almost surely, 2122301321201 is an apocalyptic number.

It is an amenable number.

122301321201 is a deficient number, since it is larger than the sum of its proper divisors (60489251919).

122301321201 is a wasteful number, since it uses less digits than its factorization.

122301321201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40085773 (or 40085767 counting only the distinct ones).

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

Adding to 122301321201 its reverse (102123103221), we get a palindrome (224424424422).

The spelling of 122301321201 in words is "one hundred twenty-two billion, three hundred one million, three hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 27 113 339 1017 3051 40085651 120256953 360770859 1082312577 4529678563 13589035689 40767107067 122301321201