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122245275860 = 225172973169837
BaseRepresentation
bin111000111011001100…
…0101110000011010100
3102200112111001102221122
41301312120232003110
54000324242311420
6132054140303112
711555231462111
oct1616630560324
9380474042848
10122245275860
11479312a9104
121b837841a98
13b6b240ba76
145cb960b908
1532a7167725
hex1c7662e0d4

122245275860 has 96 divisors (see below), whose sum is σ = 285042512160. Its totient is φ = 43825840128.

The previous prime is 122245275827. The next prime is 122245275923. The reversal of 122245275860 is 68572542221.

It can be written as a sum of positive squares in 16 ways, for example, as 19837595716 + 102407680144 = 140846^2 + 320012^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634862 + ... + 804698.

It is an arithmetic number, because the mean of its divisors is an integer number (2969192835).

Almost surely, 2122245275860 is an apocalyptic number.

122245275860 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 122245275860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142521256080).

122245275860 is an abundant number, since it is smaller than the sum of its proper divisors (162797236300).

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

122245275860 is a wasteful number, since it uses less digits than its factorization.

122245275860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169965 (or 169963 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 122245275860 in words is "one hundred twenty-two billion, two hundred forty-five million, two hundred seventy-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 73 85 116 145 146 170 290 292 340 365 493 580 730 986 1241 1460 1972 2117 2465 2482 4234 4930 4964 6205 8468 9860 10585 12410 21170 24820 35989 42340 71978 143956 169837 179945 339674 359890 679348 719780 849185 1698370 2887229 3396740 4925273 5774458 9850546 11548916 12398101 14436145 19701092 24626365 24796202 28872290 49252730 49592404 57744580 61990505 83729641 98505460 123981010 167459282 210767717 247962020 334918564 359544929 418648205 421535434 719089858 837296410 843070868 1053838585 1438179716 1674592820 1797724645 2107677170 3595449290 4215354340 6112263793 7190898580 12224527586 24449055172 30561318965 61122637930 122245275860