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120011222320 = 24511136376389
BaseRepresentation
bin110111111000100111…
…0011110110100110000
3102110202210021202121221
41233301032132310300
53431240333103240
6131044332554424
711445663362353
oct1576116366460
9373683252557
10120011222320
114699522a670
121b313622a14
13b4176163b2
145b46a2829a
1531c5e70a4a
hex1bf139ed30

120011222320 has 40 divisors (see below), whose sum is σ = 304392102480. Its totient is φ = 43640444160.

The previous prime is 120011222297. The next prime is 120011222321. The reversal of 120011222320 is 23222110021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 120011222294 and 120011222303.

It is not an unprimeable number, because it can be changed into a prime (120011222321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68187315 + ... + 68189074.

It is an arithmetic number, because the mean of its divisors is an integer number (7609802562).

Almost surely, 2120011222320 is an apocalyptic number.

120011222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011222320 is an abundant number, since it is smaller than the sum of its proper divisors (184380880160).

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

120011222320 is a wasteful number, since it uses less digits than its factorization.

120011222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136376413 (or 136376407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120011222320 its reverse (23222110021), we get a palindrome (143233332341).

It can be divided in two parts, 12001 and 1222320, that added together give a palindrome (1234321).

The spelling of 120011222320 in words is "one hundred twenty billion, eleven million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 136376389 272752778 545505556 681881945 1091011112 1363763890 1500140279 2182022224 2727527780 3000280558 5455055560 6000561116 7500701395 10910111120 12001122232 15001402790 24002244464 30002805580 60005611160 120011222320