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12398884992 = 27321317311571
BaseRepresentation
bin10111000110000011…
…11111100010000000
31012000002200121200200
423203001333202000
5200343103304432
65410155045200
7616153532514
oct134301774200
935002617620
1012398884992
11529293589a
1224a0440800
1312279a5750
148589b2144
154c87b3a7c
hex2e307f880

12398884992 has 384 divisors, whose sum is σ = 42022955520. Its totient is φ = 3472588800.

The previous prime is 12398884991. The next prime is 12398885003. The reversal of 12398884992 is 29948889321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12398884991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7891567 + ... + 7893137.

It is an arithmetic number, because the mean of its divisors is an integer number (109434780).

Almost surely, 212398884992 is an apocalyptic number.

12398884992 is a gapful number since it is divisible by the number (12) 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 12398884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011477760).

12398884992 is an abundant number, since it is smaller than the sum of its proper divisors (29624070528).

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

12398884992 is a wasteful number, since it uses less digits than its factorization.

12398884992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1637 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 12398884992 in words is "twelve billion, three hundred ninety-eight million, eight hundred eighty-four thousand, nine hundred ninety-two".