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121053252200 = 235219199160081
BaseRepresentation
bin111000010111101010…
…1100000101001101000
3102120110102001100220012
41300233111200221220
53440404113032300
6131335555151052
711513545444346
oct1605725405150
9376412040805
10121053252200
114737a450091
121b5645a5488
13b55247b01a
145c05196996
1532376a5435
hex1c2f560a68

121053252200 has 96 divisors (see below), whose sum is σ = 297752520000. Its totient is φ = 45642009600.

The previous prime is 121053252191. The next prime is 121053252209. The reversal of 121053252200 is 2252350121.

It is an interprime number because it is at equal distance from previous prime (121053252191) and next prime (121053252209).

It is not an unprimeable number, because it can be changed into a prime (121053252209) by changing a digit.

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, 676160 + ... + 836240.

It is an arithmetic number, because the mean of its divisors is an integer number (3101588750).

Almost surely, 2121053252200 is an apocalyptic number.

121053252200 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 121053252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148876260000).

121053252200 is an abundant number, since it is smaller than the sum of its proper divisors (176699267800).

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

121053252200 is a wasteful number, since it uses less digits than its factorization.

121053252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160315 (or 160306 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 121053252200 in words is "one hundred twenty-one billion, fifty-three million, two hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 199 200 380 398 475 760 796 950 995 1592 1900 1990 3781 3800 3980 4975 7562 7960 9950 15124 18905 19900 30248 37810 39800 75620 94525 151240 160081 189050 320162 378100 640324 756200 800405 1280648 1600810 3041539 3201620 4002025 6083078 6403240 8004050 12166156 15207695 16008100 24332312 30415390 31856119 32016200 60830780 63712238 76038475 121661560 127424476 152076950 159280595 254848952 304153900 318561190 605266261 608307800 637122380 796402975 1210532522 1274244760 1592805950 2421065044 3026331305 3185611900 4842130088 6052662610 6371223800 12105325220 15131656525 24210650440 30263313050 60526626100 121053252200