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122420144052405 = 3252720447645609
BaseRepresentation
bin11011110101011100101001…
…001100110001100010110101
3121001110020210022210010220100
4123311130221030301202311
5112021212423334134110
61112211012055024313
734533364202206053
oct3365345114614265
9531406708703810
10122420144052405
1136009100916091
1211891a1666b099
1353402297a29c4
1422332491851d3
15e2466774ebc0
hex6f57293318b5

122420144052405 has 12 divisors (see below), whose sum is σ = 212194916357580. Its totient is φ = 65290743494592.

The previous prime is 122420144052397. The next prime is 122420144052413. The reversal of 122420144052405 is 504250441024221.

122420144052405 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 2 + 0 + 1 + 4 + 405 + 240 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (122420144052397) and next prime (122420144052413).

It can be written as a sum of positive squares in 2 ways, for example, as 56474278113969 + 65945865938436 = 7514937^2 + 8120706^2 .

It is not a de Polignac number, because 122420144052405 - 23 = 122420144052397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122420144052405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1360223822760 + ... + 1360223822849.

It is an arithmetic number, because the mean of its divisors is an integer number (17682909696465).

Almost surely, 2122420144052405 is an apocalyptic number.

122420144052405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122420144052405 is a deficient number, since it is larger than the sum of its proper divisors (89774772305175).

122420144052405 is a wasteful number, since it uses less digits than its factorization.

122420144052405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720447645620 (or 2720447645617 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 122420144052405 its reverse (504250441024221), we get a palindrome (626670585076626).

The spelling of 122420144052405 in words is "one hundred twenty-two trillion, four hundred twenty billion, one hundred forty-four million, fifty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 45 2720447645609 8161342936827 13602238228045 24484028810481 40806714684135 122420144052405