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122663665360 = 2456139116427
BaseRepresentation
bin111001000111101010…
…0101111111011010000
3102201121122022211110001
41302033110233323100
54002203344242420
6132203444015344
711601501644425
oct1621724577320
9381548284401
10122663665360
1148026494355
121b933991554
13b74acbb712
145d18ddbd4c
1532cdc5eb0a
hex1c8f52fed0

122663665360 has 80 divisors (see below), whose sum is σ = 289987546752. Its totient is φ = 48241267200.

The previous prime is 122663665349. The next prime is 122663665379. The reversal of 122663665360 is 63566366221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 122663665360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19082467 + ... + 19088893.

Almost surely, 2122663665360 is an apocalyptic number.

122663665360 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 122663665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144993773376).

122663665360 is an abundant number, since it is smaller than the sum of its proper divisors (167323881392).

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

122663665360 is a wasteful number, since it uses less digits than its factorization.

122663665360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10406 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 46.

The spelling of 122663665360 in words is "one hundred twenty-two billion, six hundred sixty-three million, six hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 3911 4880 6427 7822 12854 15644 19555 25708 31288 32135 39110 51416 62576 64270 78220 102832 128540 156440 238571 257080 312880 392047 477142 514160 784094 954284 1192855 1568188 1908568 1960235 2385710 3136376 3817136 3920470 4771420 6272752 7840940 9542840 15681880 19085680 25135997 31363760 50271994 100543988 125679985 201087976 251359970 402175952 502719940 1005439880 1533295817 2010879760 3066591634 6133183268 7666479085 12266366536 15332958170 24532733072 30665916340 61331832680 122663665360