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122000709796 = 22726124092
BaseRepresentation
bin111000110011111001…
…1110001100010100100
3102122220102212012101021
41301213303301202210
53444324140203141
6132014002340524
711546201631400
oct1614763614244
9378812765337
10122000709796
1147816246a99
121b78995a744
13b67384c814
145c94d48100
1532909586d1
hex1c67cf18a4

122000709796 has 81 divisors (see below), whose sum is σ = 253115646147. Its totient is φ = 51303127680.

The previous prime is 122000709773. The next prime is 122000709881. The reversal of 122000709796 is 697907000221.

The square root of 122000709796 is 349286.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1647223396 + 120353486400 = 40586^2 + 346920^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 298290040 + ... + 298290448.

Almost surely, 2122000709796 is an apocalyptic number.

122000709796 is the 349286-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122000709796

122000709796 is an abundant number, since it is smaller than the sum of its proper divisors (131114936351).

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

122000709796 is an frugal number, since it uses more digits than its factorization.

122000709796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 122000709796 in words is "one hundred twenty-two billion, seven hundred nine thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 409 427 818 854 1636 1708 2863 2989 3721 5726 5978 7442 11452 11956 14884 20041 24949 26047 40082 49898 52094 80164 99796 104188 167281 174643 182329 334562 349286 364658 669124 698572 729316 1170967 1222501 1521889 2341934 2445002 3043778 4683868 4890004 6087556 8196769 10204141 10653223 16393538 20408282 21306446 32787076 40816564 42612892 71428987 74572561 142857974 149145122 285715948 298290244 500002909 622452601 1000005818 1244905202 2000011636 2489810404 4357168207 8714336414 17428672828 30500177449 61000354898 122000709796