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122120012005 = 537677975049
BaseRepresentation
bin111000110111011101…
…0111000000011100101
3102200012202100101020121
41301232322320003211
54000100210341010
6132033503401541
711552150655265
oct1615672700345
9380182311217
10122120012005
1147877621562
121b8018b32b1
13b692490c44
145ca6b217a5
15329b1723da
hex1c6eeb80e5

122120012005 has 16 divisors (see below), whose sum is σ = 150727129200. Its totient is φ = 94915072512.

The previous prime is 122120011903. The next prime is 122120012029. The reversal of 122120012005 is 500210021221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 51256507201 + 70863504804 = 226399^2 + 266202^2 .

It is a cyclic number.

It is not a de Polignac number, because 122120012005 - 215 = 122119979237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122120012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362280 + ... + 612769.

It is an arithmetic number, because the mean of its divisors is an integer number (9420445575).

Almost surely, 2122120012005 is an apocalyptic number.

It is an amenable number.

122120012005 is a deficient number, since it is larger than the sum of its proper divisors (28607117195).

122120012005 is an equidigital number, since it uses as much as digits as its factorization.

122120012005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975768.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 122120012005 its reverse (500210021221), we get a palindrome (622330033226).

The spelling of 122120012005 in words is "one hundred twenty-two billion, one hundred twenty million, twelve thousand, five".

Divisors: 1 5 37 185 677 3385 25049 125245 975049 4875245 36076813 180384065 660108173 3300540865 24424002401 122120012005