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122442512145225 = 352172330111386703
BaseRepresentation
bin11011110101110001011110…
…011100010001101101001001
3121001112101112012021222210120
4123311301132130101231021
5112022044231102121400
61112225151420533453
734535115410645466
oct3365613634215511
9531471465258716
10122442512145225
113601763a044308
12118962196b1289
13534238297419c
14223436bb8266d
15e2502633cca0
hex6f5c5e711b49

122442512145225 has 96 divisors (see below), whose sum is σ = 223740275134464. Its totient is φ = 58769540121600.

The previous prime is 122442512145197. The next prime is 122442512145277. The reversal of 122442512145225 is 522541215244221.

It is not a de Polignac number, because 122442512145225 - 27 = 122442512145097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87604224 + ... + 88990926.

It is an arithmetic number, because the mean of its divisors is an integer number (2330627865984).

Almost surely, 2122442512145225 is an apocalyptic number.

122442512145225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122442512145225 is a deficient number, since it is larger than the sum of its proper divisors (101297762989239).

122442512145225 is a wasteful number, since it uses less digits than its factorization.

122442512145225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389767 (or 1389762 counting only the distinct ones).

The product of its digits is 512000, while the sum is 42.

Adding to 122442512145225 its reverse (522541215244221), we get a palindrome (644983727389446).

The spelling of 122442512145225 in words is "one hundred twenty-two trillion, four hundred forty-two billion, five hundred twelve million, one hundred forty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 15 17 23 25 51 69 75 85 115 255 345 391 425 575 1173 1275 1725 1955 3011 5865 9033 9775 15055 29325 45165 51187 69253 75275 153561 207759 225825 255935 346265 767805 1038795 1177301 1279675 1386703 1731325 3531903 3839025 4160109 5193975 5886505 6933515 17659515 20800545 23573951 29432525 31894169 34667575 70721853 88297575 95682507 104002725 117869755 159470845 353609265 478412535 542200873 589348775 797354225 1626602619 1768046325 2392062675 2711004365 4175362733 8133013095 12526088199 13555021825 20876813665 40665065475 62630440995 70981166461 96033342859 104384068325 212943499383 288100028577 313152204975 354905832305 480166714295 1064717496915 1440500142885 1632566828603 1774529161525 2400833571475 4897700485809 5323587484575 7202500714425 8162834143015 24488502429045 40814170715075 122442512145225