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120422706217984 = 2103429292
BaseRepresentation
bin11011011000011000011000…
…101000001000010000000000
3120210101022001110002210100201
4123120120120220020100000
5111241001200242433414
61104041232202054544
734236152630563342
oct3330303050102000
9523338043083321
10120422706217984
1135408a8a279215
121160a8887aa454
135226a73cc5651
1421a46c0ac9292
15ddc70e67c574
hex6d8618a08400

120422706217984 has 33 divisors (see below), whose sum is σ = 240728514114637. Its totient is φ = 60211177529344.

The previous prime is 120422706217981. The next prime is 120422706218021. The reversal of 120422706217984 is 489712607224021.

It is a happy number.

The square root of 120422706217984 is 10973728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 106785934377984 + 13636771840000 = 10333728^2 + 3692800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120422706217981) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 350987832 + ... + 351330760.

Almost surely, 2120422706217984 is an apocalyptic number.

120422706217984 is the 10973728-th square number.

It is an amenable number.

120422706217984 is a deficient number, since it is larger than the sum of its proper divisors (120305807896653).

120422706217984 is an frugal number, since it uses more digits than its factorization.

120422706217984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685878 (or 342931 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 120422706217984 in words is "one hundred twenty trillion, four hundred twenty-two billion, seven hundred six million, two hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 342929 685858 1371716 2743432 5486864 10973728 21947456 43894912 87789824 175579648 351159296 117600299041 235200598082 470401196164 940802392328 1881604784656 3763209569312 7526419138624 15052838277248 30105676554496 60211353108992 120422706217984