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12199038432 = 2537217791931
BaseRepresentation
bin10110101110001111…
…01000110111100000
31011111011122100202020
423113013220313200
5144440423212212
65334255421440
7611206054500
oct132707506740
934434570666
1012199038432
1151a0048149
122445524880
1311c5473249
1483a22da00
154b5e89d8c
hex2d71e8de0

12199038432 has 288 divisors, whose sum is σ = 39961797120. Its totient is φ = 3237212160.

The previous prime is 12199038389. The next prime is 12199038473. The reversal of 12199038432 is 23483099121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 6316507 + ... + 6318437.

It is an arithmetic number, because the mean of its divisors is an integer number (138756240).

Almost surely, 212199038432 is an apocalyptic number.

12199038432 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 12199038432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19980898560).

12199038432 is an abundant number, since it is smaller than the sum of its proper divisors (27762758688).

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

12199038432 is a wasteful number, since it uses less digits than its factorization.

12199038432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 12199038432 in words is "twelve billion, one hundred ninety-nine million, thirty-eight thousand, four hundred thirty-two".