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120122121119 = 71113196315901
BaseRepresentation
bin110111111011111010…
…1100001101110011111
3102111001111222000011212
41233313311201232133
53432002230333434
6131103333535035
711451511116440
oct1576765415637
9374044860155
10120122121119
1146a41895570
121b3447a447b
13b4345a48a0
145b576552c7
1531d0a798ce
hex1bf7d61b9f

120122121119 has 32 divisors (see below), whose sum is σ = 169771445760. Its totient is φ = 81854064000.

The previous prime is 120122121113. The next prime is 120122121121. The reversal of 120122121119 is 911121221021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120122121119 - 28 = 120122120863 is a prime.

It is a super-2 number, since 2×1201221211192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120122121094 and 120122121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122121113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3138932 + ... + 3176969.

It is an arithmetic number, because the mean of its divisors is an integer number (5305357680).

Almost surely, 2120122121119 is an apocalyptic number.

120122121119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

120122121119 is a deficient number, since it is larger than the sum of its proper divisors (49649324641).

120122121119 is a wasteful number, since it uses less digits than its factorization.

120122121119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315951.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 120122121119 in words is "one hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred nineteen".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 1001 1463 1729 2717 19019 6315901 44211307 69474911 82106713 120002119 486324377 574746991 840014833 903173843 1320023309 1560027547 6322216901 9240163163 10920192829 17160303017 120122121119