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121134000 = 24353131553
BaseRepresentation
bin1110011100001…
…01101110110000
322102221020121110
413032011232300
5222002242000
620004153320
73000423231
oct716055660
9272836543
10121134000
1162416849
1234698840
131c133130
1412133088
15a97b850
hex7385bb0

121134000 has 160 divisors (see below), whose sum is σ = 420848064. Its totient is φ = 29798400.

The previous prime is 121133953. The next prime is 121134001. The reversal of 121134000 is 431121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (121134001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77224 + ... + 78776.

Almost surely, 2121134000 is an apocalyptic number.

121134000 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 121134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210424032).

121134000 is an abundant number, since it is smaller than the sum of its proper divisors (299714064).

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

121134000 is a wasteful number, since it uses less digits than its factorization.

121134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121134000 is about 11006.0892236979. The cubic root of 121134000 is about 494.7912598088.

Adding to 121134000 its reverse (431121), we get a palindrome (121565121).

The spelling of 121134000 in words is "one hundred twenty-one million, one hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1553 1560 1625 1950 2000 2600 3000 3106 3120 3250 3900 4659 4875 5200 6000 6212 6500 7765 7800 9318 9750 12424 13000 15530 15600 18636 19500 20189 23295 24848 26000 31060 37272 38825 39000 40378 46590 60567 62120 74544 77650 78000 80756 93180 100945 116475 121134 124240 155300 161512 186360 194125 201890 232950 242268 302835 310600 323024 372720 388250 403780 465900 484536 504725 582375 605670 621200 776500 807560 931800 969072 1009450 1164750 1211340 1514175 1553000 1615120 1863600 2018900 2329500 2422680 2523625 3028350 3106000 4037800 4659000 4845360 5047250 6056700 7570875 8075600 9318000 10094500 12113400 15141750 20189000 24226800 30283500 40378000 60567000 121134000