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12408890280969 = 37131571242311941
BaseRepresentation
bin1011010010010010101101…
…1111110100110000001001
31121221021111220021112120210
42310210223133310300021
53111301401402442334
642220322051511333
72420340604033020
oct264445337646011
947837456245523
1012408890280969
113a54643078946
121484b142b8549
136c01cbb439c0
1430c8447958b7
15167bb50715e9
hexb492b7f4c09

12408890280969 has 64 divisors (see below), whose sum is σ = 20386385768448. Its totient is φ = 6537935174400.

The previous prime is 12408890280947. The next prime is 12408890281079. The reversal of 12408890280969 is 96908209880421.

It is a happy number.

12408890280969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12408890280969 - 215 = 12408890248201 is a prime.

It is a super-2 number, since 2×124088902809692 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12408890280929) 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, 1039177539 + ... + 1039189479.

It is an arithmetic number, because the mean of its divisors is an integer number (318537277632).

Almost surely, 212408890280969 is an apocalyptic number.

It is an amenable number.

12408890280969 is a deficient number, since it is larger than the sum of its proper divisors (7977495487479).

12408890280969 is a wasteful number, since it uses less digits than its factorization.

12408890280969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15958.

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 12408890280969 in words is "twelve trillion, four hundred eight billion, eight hundred ninety million, two hundred eighty thousand, nine hundred sixty-nine".

Divisors: 1 3 7 13 21 39 91 273 1571 2423 4713 7269 10997 11941 16961 20423 31499 32991 35823 50883 61269 83587 94497 142961 155233 220493 250761 428883 465699 661479 1086631 3259893 3806533 11419599 18759311 26645731 28933043 49484929 56277933 79937193 86799129 131315177 148454787 202531301 243871043 346394503 376129559 393945531 607593903 731613129 1039183509 1128388677 1707097301 2632906913 5121291903 7898720739 45453810553 136361431659 318176673871 590899537189 954530021613 1772698611567 4136296760323 12408890280969