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122020121000 = 2353347351643
BaseRepresentation
bin111000110100011110…
…1110100100110101000
3102122221210101101112202
41301220331310212220
53444344122333000
6132015534355332
711546525626001
oct1615075644650
9378853341482
10122020121000
11478261a4a08
121b79435bb48
13b677887c3b
145c9775c1a8
1532924dedd5
hex1c68f749a8

122020121000 has 64 divisors (see below), whose sum is σ = 286350742080. Its totient is φ = 48667252800.

The previous prime is 122020120993. The next prime is 122020121029. The reversal of 122020121000 is 121020221.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 171179 + ... + 522821.

It is an arithmetic number, because the mean of its divisors is an integer number (4474230345).

Almost surely, 2122020121000 is an apocalyptic number.

122020121000 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 122020121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143175371040).

122020121000 is an abundant number, since it is smaller than the sum of its proper divisors (164330621080).

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

122020121000 is a wasteful number, since it uses less digits than its factorization.

122020121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352011 (or 351997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122020121000 its reverse (121020221), we get a palindrome (122141141221).

The spelling of 122020121000 in words is "one hundred twenty-two billion, twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 347 500 694 1000 1388 1735 2776 3470 6940 8675 13880 17350 34700 43375 69400 86750 173500 347000 351643 703286 1406572 1758215 2813144 3516430 7032860 8791075 14065720 17582150 35164300 43955375 70328600 87910750 122020121 175821500 244040242 351643000 488080484 610100605 976160968 1220201210 2440402420 3050503025 4880804840 6101006050 12202012100 15252515125 24404024200 30505030250 61010060500 122020121000