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12252110401 = 411013294997
BaseRepresentation
bin10110110100100100…
…00101111001000001
31011121212111200210201
423122102011321001
5200043020013101
65343433125201
7612422135326
oct133222057101
934555450721
1012252110401
115217aa6983
12245b259801
13120346598b
148432c6b4d
154ba96ee01
hex2da485e41

12252110401 has 8 divisors (see below), whose sum is σ = 12563374824. Its totient is φ = 11941438080.

The previous prime is 12252110363. The next prime is 12252110467. The reversal of 12252110401 is 10401125221.

It can be written as a sum of positive squares in 4 ways, for example, as 1916338176 + 10335772225 = 43776^2 + 101665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12252110401 - 29 = 12252109889 is a prime.

It is a super-2 number, since 2×122521104012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12252117401) 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, 105966 + ... + 189031.

It is an arithmetic number, because the mean of its divisors is an integer number (1570421853).

Almost surely, 212252110401 is an apocalyptic number.

It is an amenable number.

12252110401 is a deficient number, since it is larger than the sum of its proper divisors (311264423).

12252110401 is a wasteful number, since it uses less digits than its factorization.

12252110401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296051.

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 12252110401 its reverse (10401125221), we get a palindrome (22653235622).

The spelling of 12252110401 in words is "twelve billion, two hundred fifty-two million, one hundred ten thousand, four hundred one".

Divisors: 1 41 1013 41533 294997 12094877 298831961 12252110401