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12008040408 = 23327134094481
BaseRepresentation
bin10110010111011110…
…00010011111011000
31010222212020122201100
423023233002133120
5144043024243113
65303313551400
7603366442110
oct131357023730
933885218640
1012008040408
115102253541
1223b1575560
131194a1b470
1481cb12040
154a430cd73
hex2cbbc27d8

12008040408 has 192 divisors, whose sum is σ = 40133620800. Its totient is φ = 3158507520.

The previous prime is 12008040403. The next prime is 12008040427. The reversal of 12008040408 is 80404080021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12008040403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2677528 + ... + 2682008.

It is an arithmetic number, because the mean of its divisors is an integer number (209029275).

Almost surely, 212008040408 is an apocalyptic number.

12008040408 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 12008040408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20066810400).

12008040408 is an abundant number, since it is smaller than the sum of its proper divisors (28125580392).

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

12008040408 is a wasteful number, since it uses less digits than its factorization.

12008040408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 12008040408 in words is "twelve billion, eight million, forty thousand, four hundred eight".