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122466426267025 = 5219461312
BaseRepresentation
bin11011110110000111101111…
…110101011010010110010001
3121001121200020210221020202101
4123312013233311122112101
5112022442220111021100
61112244144411320401
734536623131431301
oct3366075765322621
9531550223836671
10122466426267025
11360267a0a30a35
121189a992450101
1353446c4232709
142235599c25601
15e25975a1886a
hex6f61efd5a591

122466426267025 has 45 divisors (see below), whose sum is σ = 160321029111563. Its totient is φ = 92801520997200.

The previous prime is 122466426267001. The next prime is 122466426267037. The reversal of 122466426267025 is 520762624664221.

The square root of 122466426267025 is 11066455.

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., 44087913456129 + 78378512810896 = 6639873^2 + 8853164^2 .

It is not a de Polignac number, because 122466426267025 - 211 = 122466426264977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19974948210 + ... + 19974954340.

Almost surely, 2122466426267025 is an apocalyptic number.

122466426267025 is the 11066455-th square number.

122466426267025 is the 5533228-th centered octagonal number.

It is an amenable number.

122466426267025 is a deficient number, since it is larger than the sum of its proper divisors (37854602844538).

122466426267025 is an frugal number, since it uses more digits than its factorization.

122466426267025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12348 (or 6155 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 55.

The spelling of 122466426267025 in words is "one hundred twenty-two trillion, four hundred sixty-six billion, four hundred twenty-six million, two hundred sixty-seven thousand, twenty-five".

Divisors: 1 5 19 25 95 361 475 1805 6131 6859 9025 30655 34295 116489 130321 153275 171475 582445 651605 2213291 2912225 3258025 11066455 37589161 42052529 55332275 187945805 210262645 714194059 798998051 939729025 1051313225 3570970295 3994990255 13569687121 17854851475 19974951275 67848435605 257824055299 339242178025 1289120276495 4898657050681 6445601382475 24493285253405 122466426267025