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12999431088 = 2432732311443
BaseRepresentation
bin11000001101101001…
…11001001110110000
31020112221201112001200
430012310321032300
5203110323243323
65545530531200
7640065225000
oct140664711660
936487645050
1012999431088
115570926a86
122629596b00
1312c2232a77
148b465c000
1551138d443
hex306d393b0

12999431088 has 240 divisors, whose sum is σ = 44274547200. Its totient is φ = 3552329088.

The previous prime is 12999431059. The next prime is 12999431101. The reversal of 12999431088 is 88013499921.

12999431088 is a `hidden beast` number, since 129 + 9 + 9 + 431 + 0 + 88 = 666.

It is a super-2 number, since 2×129994310882 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1130295 + ... + 1141737.

It is an arithmetic number, because the mean of its divisors is an integer number (184477280).

Almost surely, 212999431088 is an apocalyptic number.

12999431088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12999431088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22137273600).

12999431088 is an abundant number, since it is smaller than the sum of its proper divisors (31275116112).

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

12999431088 is a wasteful number, since it uses less digits than its factorization.

12999431088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11501 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

It can be divided in two parts, 1299943 and 1088, that added together give a palindrome (1301031).

The spelling of 12999431088 in words is "twelve billion, nine hundred ninety-nine million, four hundred thirty-one thousand, eighty-eight".