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121151135000 = 235473793553
BaseRepresentation
bin111000011010100101…
…0111001110100011000
3102120201020020022212002
41300311022321310120
53441104142310000
6131353413140132
711516144441060
oct1606512716430
9376636208762
10121151135000
114741a725965
121b59132a648
13b56982cc3c
145c141963a0
15324108c8d5
hex1c352b9d18

121151135000 has 160 divisors (see below), whose sum is σ = 333179473440. Its totient is φ = 40414464000.

The previous prime is 121151134991. The next prime is 121151135003. The reversal of 121151135000 is 531151121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121151135003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1248224 + ... + 1341776.

It is an arithmetic number, because the mean of its divisors is an integer number (2082371709).

Almost surely, 2121151135000 is an apocalyptic number.

121151135000 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 121151135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166589736720).

121151135000 is an abundant number, since it is smaller than the sum of its proper divisors (212028338440).

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

121151135000 is an equidigital number, since it uses as much as digits as its factorization.

121151135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93623 (or 93604 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 121151135000 its reverse (531151121), we get a palindrome (121682286121).

The spelling of 121151135000 in words is "one hundred twenty-one billion, one hundred fifty-one million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 37 40 50 56 70 74 100 125 140 148 175 185 200 250 259 280 296 350 370 500 518 625 700 740 875 925 1000 1036 1250 1295 1400 1480 1750 1850 2072 2500 2590 3500 3700 4375 4625 5000 5180 6475 7000 7400 8750 9250 10360 12950 17500 18500 23125 25900 32375 35000 37000 46250 51800 64750 92500 93553 129500 161875 185000 187106 259000 323750 374212 467765 647500 654871 748424 935530 1295000 1309742 1871060 2338825 2619484 3274355 3461461 3742120 4677650 5238968 6548710 6922922 9355300 11694125 13097420 13845844 16371775 17307305 18710600 23388250 24230227 26194840 27691688 32743550 34614610 46776500 48460454 58470625 65487100 69229220 81858875 86536525 93553000 96920908 116941250 121151135 130974200 138458440 163717750 173073050 193841816 233882500 242302270 327435500 346146100 409294375 432682625 467765000 484604540 605755675 654871000 692292200 818588750 865365250 969209080 1211511350 1637177500 1730730500 2163413125 2423022700 3028778375 3274355000 3461461000 4326826250 4846045400 6057556750 8653652500 12115113500 15143891875 17307305000 24230227000 30287783750 60575567500 121151135000