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120123001220 = 2256006150061
BaseRepresentation
bin110111111011111100…
…0111000100110000100
3102111001120121201110012
41233313320320212010
53432002442014340
6131103404445352
711451521443355
oct1576770704604
9374046551405
10120123001220
1146a42336822
121b344b49858
13b434822361
145b57803d2c
1531d0ba0565
hex1bf7e38984

120123001220 has 12 divisors (see below), whose sum is σ = 252258302604. Its totient is φ = 48049200480.

The previous prime is 120123001183. The next prime is 120123001231. The reversal of 120123001220 is 22100321021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71097956164 + 49025045056 = 266642^2 + 221416^2 .

It is a super-3 number, since 3×1201230012203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120123001195 and 120123001204.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3003075011 + ... + 3003075050.

It is an arithmetic number, because the mean of its divisors is an integer number (21021525217).

Almost surely, 2120123001220 is an apocalyptic number.

120123001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120123001220 is an abundant number, since it is smaller than the sum of its proper divisors (132135301384).

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

120123001220 is a wasteful number, since it uses less digits than its factorization.

120123001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006150070 (or 6006150068 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 120123001220 its reverse (22100321021), we get a palindrome (142223322241).

The spelling of 120123001220 in words is "one hundred twenty billion, one hundred twenty-three million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6006150061 12012300122 24024600244 30030750305 60061500610 120123001220