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12400123214413 = 11236110344317609
BaseRepresentation
bin1011010001110010000011…
…1100000111101001001101
31121220102212220111102012001
42310130200330013221031
53111130423020330123
642212312111112301
72416610420143144
oct264344074075115
947812786442161
1012400123214413
113a50954313aa0
121483288212691
136bc43270bc5c
1430c25229675b
151678505570ad
hexb4720f07a4d

12400123214413 has 64 divisors (see below), whose sum is σ = 14519773532160. Its totient is φ = 10478675750400.

The previous prime is 12400123214393. The next prime is 12400123214417. The reversal of 12400123214413 is 31441232100421.

It is a happy number.

It is not a de Polignac number, because 12400123214413 - 225 = 12400089659981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400123214417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 704183553 + ... + 704201161.

It is an arithmetic number, because the mean of its divisors is an integer number (226871461440).

Almost surely, 212400123214413 is an apocalyptic number.

It is an amenable number.

12400123214413 is a deficient number, since it is larger than the sum of its proper divisors (2119650317747).

12400123214413 is a wasteful number, since it uses less digits than its factorization.

12400123214413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18250.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12400123214413 its reverse (31441232100421), we get a palindrome (43841355314834).

The spelling of 12400123214413 in words is "twelve trillion, four hundred billion, one hundred twenty-three million, two hundred fourteen thousand, four hundred thirteen".

Divisors: 1 11 23 61 103 253 443 671 1133 1403 2369 4873 6283 10189 15433 17609 26059 27023 45629 69113 112079 144509 193699 297253 405007 501919 621529 1049467 1074149 1589599 1813727 2783369 4455077 6836819 7800787 11544137 11815639 19950997 24705427 30617059 41715721 64017487 85808657 110637347 179418101 271759697 458872931 475848007 704192357 803481061 1217010817 1973599111 2544658981 5234328077 8838291671 10944504161 18480064403 27991248791 49012344721 120389545771 203280708433 539135791931 1127283928583 12400123214413