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122444410120 = 23517210592077
BaseRepresentation
bin111001000001001000…
…0010110110100001000
3102201001100202111210121
41302002100112310020
54001231232110440
6132130012353024
711563200212344
oct1620220266410
9381040674717
10122444410120
1147a2374a67a
121b892475774
13b714751ca6
145cd7c46624
1532b98a034a
hex1c82416d08

122444410120 has 48 divisors (see below), whose sum is σ = 292659115140. Its totient is φ = 46096714752.

The previous prime is 122444410093. The next prime is 122444410157. The reversal of 122444410120 is 21014444221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 53572805764 + 68871604356 = 231458^2 + 262434^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5284479 + ... + 5307598.

Almost surely, 2122444410120 is an apocalyptic number.

122444410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122444410120 is an abundant number, since it is smaller than the sum of its proper divisors (170214705020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122444410120 is a wasteful number, since it uses less digits than its factorization.

122444410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10592122 (or 10592101 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 122444410120 its reverse (21014444221), we get a palindrome (143458854341).

The spelling of 122444410120 in words is "one hundred twenty-two billion, four hundred forty-four million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 11560 10592077 21184154 42368308 52960385 84736616 105920770 180065309 211841540 360130618 423683080 720261236 900326545 1440522472 1800653090 3061110253 3601306180 6122220506 7202612360 12244441012 15305551265 24488882024 30611102530 61222205060 122444410120