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1225212110120 = 23546166443173
BaseRepresentation
bin10001110101000100010…
…101010010010100101000
311100010111010202000011202
4101311010111102110220
5130033213300010440
62334504335343332
7154342620050165
oct21650425222450
94303433660152
101225212110120
11432678327639
12179555081b48
138b6c9a5866b
144342cb2706c
1521d0d30a615
hex11d44552528

1225212110120 has 32 divisors (see below), whose sum is σ = 2762707174920. Its totient is φ = 489021745920.

The previous prime is 1225212110113. The next prime is 1225212110123. The reversal of 1225212110120 is 210112125221.

It can be written as a sum of positive squares in 4 ways, for example, as 677141368996 + 548070741124 = 822886^2 + 740318^2 .

It is a super-2 number, since 2×12252121101202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1225212110092 and 1225212110101.

It is not an unprimeable number, because it can be changed into a prime (1225212110123) 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, 33203147 + ... + 33240026.

Almost surely, 21225212110120 is an apocalyptic number.

1225212110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225212110120 is an abundant number, since it is smaller than the sum of its proper divisors (1537495064800).

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

1225212110120 is a wasteful number, since it uses less digits than its factorization.

1225212110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66443645 (or 66443641 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 1225212110120 its reverse (210112125221), we get a palindrome (1435324235341).

The spelling of 1225212110120 in words is "one trillion, two hundred twenty-five billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 461 922 1844 2305 3688 4610 9220 18440 66443173 132886346 265772692 332215865 531545384 664431730 1328863460 2657726920 30630302753 61260605506 122521211012 153151513765 245042422024 306303027530 612606055060 1225212110120