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12052414322440 = 235301310358061
BaseRepresentation
bin1010111101100010101111…
…0111111101011100001000
31120200012101110212120011221
42233120223313331130020
53034431321031304230
641344445214531424
72352521030263132
oct257305367753410
946605343776157
1012052414322440
113927444752058
121427a09206b74
136956cb6c136b
142d94a8c1a052
1515d79e71a27a
hexaf62bdfd708

12052414322440 has 16 divisors (see below), whose sum is σ = 27117932225580. Its totient is φ = 4820965728960.

The previous prime is 12052414322387. The next prime is 12052414322447. The reversal of 12052414322440 is 4422341425021.

It can be written as a sum of positive squares in 2 ways, for example, as 11035378378116 + 1017035944324 = 3321954^2 + 1008482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12052414322396 and 12052414322405.

It is not an unprimeable number, because it can be changed into a prime (12052414322447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 150655178991 + ... + 150655179070.

Almost surely, 212052414322440 is an apocalyptic number.

12052414322440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12052414322440 is an abundant number, since it is smaller than the sum of its proper divisors (15065517903140).

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

12052414322440 is a wasteful number, since it uses less digits than its factorization.

12052414322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301310358072 (or 301310358068 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 12052414322440 its reverse (4422341425021), we get a palindrome (16474755747461).

The spelling of 12052414322440 in words is "twelve trillion, fifty-two billion, four hundred fourteen million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 301310358061 602620716122 1205241432244 1506551790305 2410482864488 3013103580610 6026207161220 12052414322440