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120210112121 = 112993472001
BaseRepresentation
bin110111111110100010…
…1001011111001111001
3102111021122112102010212
41233331011023321321
53432142242041441
6131120155520505
711453630044121
oct1577505137171
9374248472125
10120210112121
1146a87524500
121b36a159135
13b4498a2278
145b651dbc81
1531d865aeeb
hex1bfd14be79

120210112121 has 6 divisors (see below), whose sum is σ = 132131776266. Its totient is φ = 109281920000.

The previous prime is 120210112103. The next prime is 120210112123. The reversal of 120210112121 is 121211012021.

It can be written as a sum of positive squares in only one way, i.e., 80792377600 + 39417734521 = 284240^2 + 198539^2 .

It is not a de Polignac number, because 120210112121 - 222 = 120205917817 is a prime.

It is a super-2 number, since 2×1202101121212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120210112096 and 120210112105.

It is not an unprimeable number, because it can be changed into a prime (120210112123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 496735880 + ... + 496736121.

It is an arithmetic number, because the mean of its divisors is an integer number (22021962711).

Almost surely, 2120210112121 is an apocalyptic number.

120210112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120210112121 is a deficient number, since it is larger than the sum of its proper divisors (11921664145).

120210112121 is an equidigital number, since it uses as much as digits as its factorization.

120210112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993472023 (or 993472012 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120210112121 its reverse (121211012021), we get a palindrome (241421124142).

The spelling of 120210112121 in words is "one hundred twenty billion, two hundred ten million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 11 121 993472001 10928192011 120210112121