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122123200300029 = 3213569244477781
BaseRepresentation
bin11011110001001000000101…
…111110010000001111111101
3121000101212022210201120201200
4123301020011332100033331
5112001331303234100104
61111422342415530113
734503052515024345
oct3361100576201775
9530355283646650
10122123200300029
1135a04181907975
1211844364829939
13531b225bc0656
142222b19ccbd25
15e1ba88545b39
hex6f1205f903fd

122123200300029 has 6 divisors (see below), whose sum is σ = 176400178211166. Its totient is φ = 81415466866680.

The previous prime is 122123200299959. The next prime is 122123200300037. The reversal of 122123200300029 is 920003002321221.

122123200300029 is a `hidden beast` number, since 1 + 2 + 2 + 12 + 320 + 0 + 300 + 0 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119747563783929 + 2375636516100 = 10942923^2 + 1541310^2 .

It is not a de Polignac number, because 122123200300029 - 213 = 122123200291837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122123200299975 and 122123200300011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122123200300099) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6784622238882 + ... + 6784622238899.

It is an arithmetic number, because the mean of its divisors is an integer number (29400029701861).

Almost surely, 2122123200300029 is an apocalyptic number.

It is an amenable number.

122123200300029 is a deficient number, since it is larger than the sum of its proper divisors (54276977911137).

122123200300029 is a wasteful number, since it uses less digits than its factorization.

122123200300029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13569244477787 (or 13569244477784 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 122123200300029 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, two hundred million, three hundred thousand, twenty-nine".

Divisors: 1 3 9 13569244477781 40707733433343 122123200300029