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122265074060 = 22517237955813
BaseRepresentation
bin111000111011110010…
…0001111100110001100
3102200120212022021222022
41301313210033212030
54000344324332220
6132100124505312
711555561660603
oct1616744174614
9380525267868
10122265074060
11479414a0858
121b8423ab238
13b6b655138c
145cbc0c2a3a
1532a8c78925
hex1c7790f98c

122265074060 has 72 divisors (see below), whose sum is σ = 273472972080. Its totient is φ = 45906932736.

The previous prime is 122265073993. The next prime is 122265074203. The reversal of 122265074060 is 60470562221.

It is a self number, because there is not a number n which added to its sum of digits gives 122265074060.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2162714 + ... + 2218526.

Almost surely, 2122265074060 is an apocalyptic number.

122265074060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122265074060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136736486040).

122265074060 is an abundant number, since it is smaller than the sum of its proper divisors (151207898020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122265074060 is a wasteful number, since it uses less digits than its factorization.

122265074060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56235 (or 56216 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 122265074060 in words is "one hundred twenty-two billion, two hundred sixty-five million, seventy-four thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 379 578 758 1156 1445 1516 1895 2890 3790 5780 6443 7580 12886 25772 32215 55813 64430 109531 111626 128860 219062 223252 279065 438124 547655 558130 948821 1095310 1116260 1897642 2190620 3795284 4744105 9488210 16129957 18976420 21153127 32259914 42306254 64519828 80649785 84612508 105765635 161299570 211531270 322599140 359603159 423062540 719206318 1438412636 1798015795 3596031590 6113253703 7192063180 12226507406 24453014812 30566268515 61132537030 122265074060