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12406254120631 = 7531572279191021
BaseRepresentation
bin1011010010001000111001…
…0111101010111010110111
31121221000201011212201102201
42310202032113222322313
53111231002023330011
642215204321445331
72420215354035250
oct264421627527267
947830634781381
1012406254120631
113a53510025638
1214844b94a0847
136bcb9b94cb07
1430c67461db27
15167aad8ebcc1
hexb488e5eaeb7

12406254120631 has 64 divisors (see below), whose sum is σ = 14632360888320. Its totient is φ = 10299840145920.

The previous prime is 12406254120619. The next prime is 12406254120643. The reversal of 12406254120631 is 13602145260421.

It is an interprime number because it is at equal distance from previous prime (12406254120619) and next prime (12406254120643).

It is a cyclic number.

It is not a de Polignac number, because 12406254120631 - 229 = 12405717249719 is a prime.

It is a super-2 number, since 2×124062541206312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12406254120661) 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, 12151080901 + ... + 12151081921.

It is an arithmetic number, because the mean of its divisors is an integer number (228630638880).

Almost surely, 212406254120631 is an apocalyptic number.

12406254120631 is a deficient number, since it is larger than the sum of its proper divisors (2226106767689).

12406254120631 is a wasteful number, since it uses less digits than its factorization.

12406254120631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 12406254120631 in words is "twelve trillion, four hundred six billion, two hundred fifty-four million, one hundred twenty thousand, six hundred thirty-one".

Divisors: 1 7 53 157 227 371 919 1021 1099 1589 6433 7147 8321 12031 35639 48707 54113 58247 84217 144283 160297 208613 231767 249473 340949 378791 938299 1009981 1122079 1460291 1622369 1888867 6568093 7646999 8495741 11056489 12283651 13222069 32752241 36387419 49729847 53528993 59470187 77395423 85985557 147312943 212993873 229265687 254711933 348108929 1031190601 1490957111 1735868773 1928533207 7807585979 11288675269 12151081411 13499732449 33440038061 54653101853 79020726883 234080266427 1772322017233 12406254120631