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122689068200 = 23526110399679
BaseRepresentation
bin111001001000011010…
…1101001110010101000
3102201200102010102120222
41302100311221302220
54002231400140300
6132210152305212
711602230605246
oct1622065516250
9381612112528
10122689068200
1148039864936
121b9403a2208
13b75334409a
145d1c531796
1532d10cb785
hex1c90d69ca8

122689068200 has 96 divisors (see below), whose sum is σ = 290237376000. Its totient is φ = 48219667200.

The previous prime is 122689068197. The next prime is 122689068211. The reversal of 122689068200 is 2860986221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12670961 + ... + 12680639.

It is an arithmetic number, because the mean of its divisors is an integer number (3023306000).

Almost surely, 2122689068200 is an apocalyptic number.

122689068200 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 122689068200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145118688000).

122689068200 is an abundant number, since it is smaller than the sum of its proper divisors (167548307800).

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

122689068200 is a wasteful number, since it uses less digits than its factorization.

122689068200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10795 (or 10786 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 122689068200 in words is "one hundred twenty-two billion, six hundred eighty-nine million, sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1039 1220 1525 2078 2440 3050 4156 5195 6100 8312 9679 10390 12200 19358 20780 25975 38716 41560 48395 51950 63379 77432 96790 103900 126758 193580 207800 241975 253516 316895 387160 483950 507032 590419 633790 967900 1180838 1267580 1584475 1935800 2361676 2535160 2952095 3168950 4723352 5904190 6337900 10056481 11808380 12675800 14760475 20112962 23616760 29520950 40225924 50282405 59041900 80451848 100564810 118083800 201129620 251412025 402259240 502824050 613445341 1005648100 1226890682 2011296200 2453781364 3067226705 4907562728 6134453410 12268906820 15336133525 24537813640 30672267050 61344534100 122689068200