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12400044401249 is a prime number
BaseRepresentation
bin1011010001110001110000…
…1111011110001001100001
31121220102200102012021211222
42310130130033132021201
53111130242331314444
642212300213544425
72416605442222151
oct264343417361141
947812612167758
1012400044401249
113a5091388354a
121483265945115
136bc41c2a5b4b
1430c245a1c761
15167848689eee
hexb471c3de261

12400044401249 has 2 divisors, whose sum is σ = 12400044401250. Its totient is φ = 12400044401248.

The previous prime is 12400044401237. The next prime is 12400044401281. The reversal of 12400044401249 is 94210444000421.

12400044401249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9251744222224 + 3148300179025 = 3041668^2 + 1774345^2 .

It is a cyclic number.

It is not a de Polignac number, because 12400044401249 - 228 = 12399775965793 is a prime.

It is a super-2 number, since 2×124000444012492 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12400044401149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6200022200624 + 6200022200625.

It is an arithmetic number, because the mean of its divisors is an integer number (6200022200625).

Almost surely, 212400044401249 is an apocalyptic number.

It is an amenable number.

12400044401249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12400044401249 is an equidigital number, since it uses as much as digits as its factorization.

12400044401249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 12400044401249 in words is "twelve trillion, four hundred billion, forty-four million, four hundred one thousand, two hundred forty-nine".