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122000011225 = 52698572
BaseRepresentation
bin111000110011111000…
…1000110111111011001
3102122220101112201010021
41301213301012333121
53444324000324400
6132013535350441
711546162661631
oct1614761067731
9378811481107
10122000011225
114781590a164
121b789682421
13b673666871
145c94c056c1
15329086b71a
hex1c67c46fd9

122000011225 has 9 divisors (see below), whose sum is σ = 151282179517. Its totient is φ = 97598611840.

The previous prime is 122000011219. The next prime is 122000011229. The reversal of 122000011225 is 522110000221.

It is a happy number.

The square root of 122000011225 is 349285.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10013404489 + 111986606736 = 100067^2 + 334644^2 .

It is not a de Polignac number, because 122000011225 - 235 = 87640272857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122000011199 and 122000011208.

It is not an unprimeable number, because it can be changed into a prime (122000011229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1711497 + ... + 1781353.

Almost surely, 2122000011225 is an apocalyptic number.

122000011225 is the 349285-th square number.

122000011225 is the 174643-rd centered octagonal number.

It is an amenable number.

122000011225 is a deficient number, since it is larger than the sum of its proper divisors (29282168292).

122000011225 is an frugal number, since it uses more digits than its factorization.

122000011225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139724 (or 69862 counting only the distinct ones).

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

Multiplying 122000011225 by its sum of digits (16), we get a square (1952000179600 = 13971402).

Adding to 122000011225 its reverse (522110000221), we get a palindrome (644110011446).

The spelling of 122000011225 in words is "one hundred twenty-two billion, eleven thousand, two hundred twenty-five".

Divisors: 1 5 25 69857 349285 1746425 4880000449 24400002245 122000011225