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121133101120 = 2658941910151
BaseRepresentation
bin111000011010000011…
…0000111000001000000
3102120122222022010000121
41300310012013001000
53441040033213440
6131351530430024
711515535241133
oct1606406070100
9376588263017
10121133101120
1147410528829
121b587292314
13b565b876c5
145c11a2021a
15323e6c934a
hex1c34187040

121133101120 has 112 divisors (see below), whose sum is σ = 292414147200. Its totient is φ = 47789772800.

The previous prime is 121133101093. The next prime is 121133101139. The reversal of 121133101120 is 21101331121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121133101094 and 121133101103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11928045 + ... + 11938195.

It is an arithmetic number, because the mean of its divisors is an integer number (2610840600).

Almost surely, 2121133101120 is an apocalyptic number.

121133101120 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 121133101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146207073600).

121133101120 is an abundant number, since it is smaller than the sum of its proper divisors (171281046080).

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

121133101120 is a wasteful number, since it uses less digits than its factorization.

121133101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10676 (or 10666 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 121133101120 its reverse (21101331121), we get a palindrome (142234432241).

The spelling of 121133101120 in words is "one hundred twenty-one billion, one hundred thirty-three million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 160 178 320 356 419 445 712 838 890 1424 1676 1780 2095 2848 3352 3560 4190 5696 6704 7120 8380 10151 13408 14240 16760 20302 26816 28480 33520 37291 40604 50755 67040 74582 81208 101510 134080 149164 162416 186455 203020 298328 324832 372910 406040 596656 649664 745820 812080 903439 1193312 1491640 1624160 1806878 2386624 2983280 3248320 3613756 4253269 4517195 5966560 7227512 8506538 9034390 11933120 14455024 17013076 18068780 21266345 28910048 34026152 36137560 42532690 57820096 68052304 72275120 85065380 136104608 144550240 170130760 272209216 289100480 340261520 378540941 680523040 757081882 1361046080 1514163764 1892704705 3028327528 3785409410 6056655056 7570818820 12113310112 15141637640 24226620224 30283275280 60566550560 121133101120