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12011201331120 = 243355560741357
BaseRepresentation
bin1010111011001001001101…
…1000110111111110110000
31120112021000021100200102000
42232302103120313332300
53033242420020043440
641313511505254000
72346531523525365
oct256622330677660
946467007320360
1012011201331120
113910a16024752
12141ba27034300
13691861249374
142d74b94da46c
1515c68b4cd730
hexaec93637fb0

12011201331120 has 80 divisors (see below), whose sum is σ = 41371915703520. Its totient is φ = 3202987021056.

The previous prime is 12011201331053. The next prime is 12011201331121. The reversal of 12011201331120 is 2113310211021.

12011201331120 is a `hidden beast` number, since 1 + 2 + 0 + 11 + 201 + 331 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12011201331093 and 12011201331102.

It is not an unprimeable number, because it can be changed into a prime (12011201331121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2780368519 + ... + 2780372838.

It is an arithmetic number, because the mean of its divisors is an integer number (517148946294).

Almost surely, 212011201331120 is an apocalyptic number.

12011201331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011201331120 is an abundant number, since it is smaller than the sum of its proper divisors (29360714372400).

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

12011201331120 is a wasteful number, since it uses less digits than its factorization.

12011201331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560741379 (or 5560741367 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12011201331120 its reverse (2113310211021), we get a palindrome (14124511542141).

The spelling of 12011201331120 in words is "twelve trillion, eleven billion, two hundred one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5560741357 11121482714 16682224071 22242965428 27803706785 33364448142 44485930856 50046672213 55607413570 66728896284 83411120355 88971861712 100093344426 111214827140 133457792568 150140016639 166822240710 200186688852 222429654280 250233361065 266915585136 300280033278 333644481420 400373377704 444859308560 500466722130 600560066556 667288962840 750700083195 800746755408 1000933444260 1201120133112 1334577925680 1501400166390 2001866888520 2402240266224 3002800332780 4003733777040 6005600665560 12011201331120