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122010022001 = 723137955273
BaseRepresentation
bin111000110100001011…
…1010011000001110001
3102122221002101022022202
41301220113103001301
53444334031201001
6132014534112545
711546344034600
oct1615027230161
9378832338282
10122010022001
114782052742a
121b790aab755
13b6757602ba
145c9628da37
15329169796b
hex1c685d3071

122010022001 has 12 divisors (see below), whose sum is σ = 142383494052. Its totient is φ = 104245884288.

The previous prime is 122010021997. The next prime is 122010022007. The reversal of 122010022001 is 100220010221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47454265600 + 74555756401 = 217840^2 + 273049^2 .

It is not a de Polignac number, because 122010022001 - 22 = 122010021997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122010022007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3962300 + ... + 3992973.

It is an arithmetic number, because the mean of its divisors is an integer number (11865291171).

Almost surely, 2122010022001 is an apocalyptic number.

It is an amenable number.

122010022001 is a deficient number, since it is larger than the sum of its proper divisors (20373472051).

122010022001 is an equidigital number, since it uses as much as digits as its factorization.

122010022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7955600 (or 7955593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122010022001 its reverse (100220010221), we get a palindrome (222230032222).

The spelling of 122010022001 in words is "one hundred twenty-two billion, ten million, twenty-two thousand, one".

Divisors: 1 7 49 313 2191 15337 7955273 55686911 389808377 2490000449 17430003143 122010022001